200

200は、自然数または整数において、199の次で201の前の数である。

1. 性質
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200 は合成数であり、約数は 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 である。
約数の和は465。
46番目の過剰数である。1つ前は198、次は204。
約数の和が奇数になる24番目の数である。1つ前は196、次は225。
1 = 0.005
逆数が有限小数になる18番目の数である。1つ前は160、次は250。
割合にすると0.5%である。
200 の三つの数字のうちどの一つを他の数字に入れ替えても素数にはならない最小の合成数である。次は204。
すなわち201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 220, 230, 240, 250, 260, 270, 280, 290 や 100, 300, 400, 500, 600, 700, 800, 900はいずれも合成数である。百の位を0に置き換えた、000も素数ではない。
3桁でこのような自然数は他に、320, 510, 530, 620, 840, 890および、これらの一の位を 2, 4, 5, 6, 8 に置き換えたものが存在する。ただし202と205は002と005が素数になるので除かれる。
59番目のハーシャッド数である。1つ前は198、次は201。
2を基としたときの4番目のハーシャッド数である。1つ前は110、次は1010。
200 = 62}} + 82}} + 10
3連続偶数の平方和で表せる数である。1つ前は116、次は308。
3つの平方数の和1通りで表せる69番目の数である。1つ前は196、次は202。
異なる3つの平方数の和1通りで表せる61番目の数である。1つ前は198、次は202。
約数の和が200になる数は1個ある。 約数の和1個で表せる45番目の数である。1つ前は198、次は204。
各位の和が2になる6番目の数である。1つ前は110、次は1001、ただし3桁では最大。
各位の平方和が平方数になる27番目の数である。1つ前は184、次は212。
200 = 22 + 142 = 102 + 102
2つの平方数の和2通りで表せる9番目の数である。1つ前は185、次は205。
200 = 22}} + 14
異なる2つの平方数の和で表せる60番目の数である。1つ前は197、次は202。
200 = 8 × 5
//n// = 5 のときの 8//n//2}} の値とみたとき1つ前は128、次は288。
200 = 2 × 10
//n// = 2 のときの //n// × 10//n//}} の値とみたとき1つ前は10、次は3000。
//n// = 2 のときの 100//n// の値とみたとき1つ前は100、次は300。
//n// = 10 のときの 2//n//2}} の値とみたとき1つ前は162、次は242。
200 = 23}} × 5
2つの異なる素因数の積で //p//3}} × //q//2}} の形で表せる3番目の数である。1つ前は108、次は392。
3番目のアキレス数である。1つ前は108、次は288。
200 = 23}} + 43}} + 43}} + 4
4つの正の数の立方数の和で表せる44番目の数である。1つ前は198、次は205。
//n// = 200 のとき //n// と //n// + 1 を並べた数を作ると素数になる。//n// と //n// + 1 を並べた数が素数になる27番目の数である。1つ前は192、次は216。
200 = 152}} − 25
//n// = 15 のときの //n//2}} − 25 の値とみたとき1つ前は171、次は231。

2. その他 200 に関連すること
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200の接頭辞：ducenti
日本プロ野球で通算200勝を達成すると、名球会入りの資格を得る。
HTTPプロトコルにおいては「OK」を示すステータスコード。
200メートル競走は陸上競技種目の一つ。また200mメドレーリレーは競泳種目の一つ。他に200メートル自由形、200メートル平泳ぎなど。
センター試験など規模の大きな試験では満点が200点の教科もある。例えば英語および国語はセンター試験では200点満点である。
自動車では積載重量や排気量などの"車格"を表す数字として車種名に使用される。
メルセデス・ベンツの乗用車の車種名、C200、200E。
日産自動車のライトバン型商用車及び乗用車の車種名、日産・NV200バネット。
西暦200年
7月19日は、年始からの数え日数が200日目に当てはまる。
200形または200系、200型を称するもの
第200代ローマ教皇はウルバヌス5世であるである。
英語で200周年の事をバイセンテニアルと呼び、特に1976年のアメリカ建国200周年を指すことが多い。
アイザック・アシモフの小説『バイセンテニアル・マン』
『のン姉ちゃん・200W』は、日本テレビ系列で1985年4月13日 - 7月27日に放送された日本のテレビドラマ。

3. 201 から 299 までの整数
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3.1. 201から220
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201 = 3 × 67、半素数、ハーシャッド数

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202 = 2 × 101、半素数、回文数、スミス数、4つの連続した素数の和

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203 = 7 × 29、半素数、ベル数

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204 = 22 × 3 × 17、ハーシャッド数、四角錐数、4つの連続する素数の平方和、6つの連続した素数の和、双子素数の和

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205 = 5 × 41、半素数

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206 = 2 × 103、半素数

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207 = 32}} × 23、ハーシャッド数

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208 = 24}} × 13、5つの連続する素数の平方和、テトラナッチ数

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209 = 11 × 19、半素数、ハーシャッド数

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210 = 2 × 3 × 5 × 7三角数、五角数、五胞体数、矩形数、3つの連続する整数の積、ハーシャッド数

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211 = 素数、3つの連続する素数の和

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212 = 22}} × 53、回文数

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213 = 3 × 71、半素数

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214 = 2 × 107、半素数

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215 = 5 × 43、半素数

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216 = 23}} × 33}}、立方数、4つの連続する偶数の平方和、3つの連続する整数の立方和、フリードマン数、ハーシャッド数、双子素数の和、3つの連続する整数の立方の積

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217 = 7 × 31、半素数

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218 = 2 × 109、半素数

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219 = 3 × 73、半素数

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220 = 22}} × 5 × 11、ハーシャッド数、220 = 22}} + 42}} + 62}} + 82}} + 102}}、最小の2つの友愛数の前者

3.2. 221から240
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221 = 13 × 17、75番目の半素数、連続する5つの素数の和、連続する9つの素数の和

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222 = 2 × 3 × 37、回文数、20番目の楔数、67番目のハーシャッド数

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223 = 素数、13番目の8n - 1型の素数、n2}} + n + 41で導き出せる13番目の素数

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224 = 25}} × 7、68番目のハーシャッド数、25番目のズッカーマン数、4連続整数の立方和

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225 = 32}} × 52}}、平方数152}}、69番目のハーシャッド数、5連続整数の立方和

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226 = 2 × 113、76番目の半素数

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227 = 素数、双子素数、陳素数、11番目の安全素数、14番目の8n + 3型の素数、4連続素数の総和と総乗の和

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228 = 22}} × 3 × 19、70番目のハーシャッド数

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229 = 素数、双子素数、229 + 922 = 1,151 素数を逆さまにした数を足しても素数になる性質をもつ最小の素数

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230 = 2 × 5 × 23、21番目の楔数、71番目のハーシャッド数、4連続整数の平方和

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231 = 3 × 7 × 11、21番目の三角数、11番目の六角数、22番目の楔数、フィボナッチ数列を構成する最初から10個の総和

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232 = 23}} × 29

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233 = 素数、16番目のソフィー・ジェルマン素数、陳素数、13番目のフィボナッチ数、11個の連続した素数の和

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234 = 2 × 32}} × 13、72番目のハーシャッド数、ノントーティエント

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235 = 5 × 47、77番目の半素数、10番目の七角数

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236 = 22}} × 59

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237 = 3 × 79、78番目の半素数

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238 = 2 × 7 × 17、23番目の楔数、素数の総和

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239 = 素数、双子素数、陳素数、17番目のソフィー・ジェルマン素数、14番目の8n - 1型の素数

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240 = 24}} × 3 × 5、高度合成数、10番目の高度トーティエント数、15番目の矩形数、73番目のハーシャッド数、フィボナッチ数の積

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3.3. 241から260
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241 = 素数、双子素数

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242 = 2 × 112}}、回文数

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243 = 35}}、 9番目の完全トーティエント数、74番目のハーシャッド数

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244 = 22}} × 61、ノントーティエント

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245 = 5 × 72}}、3つの連続した平方数の和

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246 = 2 × 3 × 41、24番目の楔数

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247 = 13 × 19、79番目の半素数、13番目の五角数、75番目のハーシャッド数

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248 = 23}} × 31

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249 = 3 × 83、80番目の半素数

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250 = 2 × 5

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251 = 素数、18番目のソフィー・ジェルマン素数、陳素数、15番目の8n + 3型の素数、3連続奇数の平方和、n2}} + n + 41で導き出せる14番目の素数

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252 = 22}} × 32}} × 7、回文数、76番目のハーシャッド数

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253 = 11 × 23、22番目の三角数、81番目の半素数、7番目の六芒星数

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254 = 2 × 127、82番目の半素数

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255 = 3 × 5 × 17、10番目の完全トーティエント数、25番目の楔数

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256 = 28}} = 44}}、平方数162}}、nn}}で表せる4番目の数

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257 = 素数、3番目のフェルマー素数、陳素数、3連続整数の8乗和

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258 = 2 × 3 × 43、26番目の楔数

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259 = 7 × 37、83番目の半素数

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260 = 22}} × 5 × 13

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3.4. 261から280
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261 = 32}} × 29、77番目のハーシャッド数

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262 = 2 × 131、回文数、84番目の半素数

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263 = 素数、陳素数、12番目の安全素数、15番目の8n - 1型の素数

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264 = 23}} × 3 × 11、78番目のハーシャッド数、2乗して回文数になる2番目の非回文数 

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265 = 5 × 53、85番目の半素数、10番目のスミス数、6番目のモンモール数

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266 = 2 × 7 × 19、27番目の楔数、79番目のハーシャッド数

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267 = 3 × 89、86番目の半素数

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268 = 22}} × 67

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269 = 素数、双子素数、陳素数

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270 = 2 × 33}} × 5、5番目の調和数、80番目のハーシャッド数

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271 = 素数、双子素数、16番目の8n - 1型の素数

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272 = 24}} × 17、回文数、6番目の原始擬似完全数、16番目の矩形数

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273 = 3 × 7 × 13、28番目の楔数、273 = 160}} + 161}} + 162}}。この形で表せる最小の楔数である。次は651。

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274 = 2 × 137、87番目の半素数、11番目のスミス数、11番目のトリボナッチ数

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275 = 52}} × 11

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276 = 22}} × 3 × 23、23番目の三角数、12番目の六角数、3連続整数の5乗和、双子素数の和

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277 = 素数

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278 = 2 × 139、88番目の半素数

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279 = 32}} × 31

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280 = 23}} × 5 × 7、81番目のハーシャッド数、5連続偶数の立方和

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3.5. 281から299
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281 = 素数、双子素数、陳素数、19番目のソフィー・ジェルマン素数、n2}} + n + 41で導き出せる15番目の素数、素数の総和

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282 = 2 × 3 × 47、29番目の楔数、回文数

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283 = 素数、双子素数、15番目の8n + 3型の素数

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284 = 22}} × 71、最小の2つの友愛数の後者

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285 = 3 × 5 × 19、30番目の楔数、82番目のハーシャッド数

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286 = 2 × 11 × 13、31番目の楔数、11番目の七角数、11番目の三角錐数

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287 = 7 × 41、14番目の五角数、89番目の半素数

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288 = 25}} × 32}}、83番目のハーシャッド数、4番目のアキレス数、4連続階乗数の積、4連続偶数の立方和

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289 = 172}}、平方数、90番目の半素数、9番目のフリードマン数

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290 = 2 × 5 × 29、32番目の楔数

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291 = 3 × 97、91番目の半素数

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292 = 22}} × 73、回文数

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293 = 素数、陳素数、20番目のソフィー・ジェルマン素数

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294 = 2 × 3 × 72}}、4連続平方数の和

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295 = 5 × 59、92番目の半素数

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296 = 23}} × 37

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297 = 33}} × 11、6番目のカプレカ数

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298 = 2 × 149、93番目の半素数

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299 = 13 × 23、94番目の半素数

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4. 関連項目
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数に関する記事の一覧
100 200 300 400 500 600 700 800 900 1000
名数一覧
日本二百名山
200年-2世紀最後の年
//斜体//で表した数は素数である。