223 (number)

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222 223 224
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Cardinal two hundred twenty-three
Ordinal 223rd
(two hundred twenty-third)
Factorization prime
Prime Yes
Greek numeral ΣΚΓ´
Roman numeral CCXXIII
Binary 110111112
Ternary 220213
Octal 3378
Duodecimal 16712
Hexadecimal DF16

223 (two hundred [and] twenty-three) is the natural number following 222 and preceding 224.

223 is a prime number. [1] Among the 720 permutations of the numbers from 1 to 6, exactly 223 of them have the property that at least one of the numbers is fixed in place by the permutation and the numbers less than it and greater than it are separately permuted among themselves. [2]

In connection with Waring's problem, 223 requires the maximum number of terms (37 terms) when expressed as a sum of positive fifth powers, and is the only number that requires that many terms. [3]

In other fields

Related Research Articles

222 is the natural number following 221 and preceding 223.

79 (seventy-nine) is the natural number following 78 and preceding 80.

220 is the natural number following 219 and preceding 221.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it is often written with a comma separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

2000 is a natural number following 1999 and preceding 2001.

126 is the natural number following 125 and preceding 127.

1,000,000 Natural number

One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one. It is commonly abbreviated in British English as m, M, MM, mm, or mn in financial contexts.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

225 is the natural number following 224 and preceding 226.

270 is the natural number following 269 and preceding 271.

277 is the natural number following 276 and preceding 278.

209 is the natural number following 208 and preceding 210.

232 is the natural number following 231 and preceding 233.

353 is the natural number following 352 and preceding 354. It is a prime number.

50,000 is the natural number that comes after 49,999 and before 50,001.

References

  1. Sloane, N. J. A. (ed.). "SequenceA000040(The prime numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "SequenceA006932(Number of permutations of [n] with at least one strong fixed point)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "SequenceA048267(Largest integer requiring n fifth powers to sum to it, starting with n=28)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.