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223922328 = 233743139223
BaseRepresentation
bin11010101100011…
…00100010011000
3120121100102200120
431112030202120
5424311003303
634115233240
75356210530
oct1526144230
9517312616
10223922328
11105442183
1262ba8820
1337511b26
1421a4c4c0
15149d2553
hexd58c898

223922328 has 128 divisors (see below), whose sum is σ = 662323200. Its totient is φ = 61762176.

The previous prime is 223922299. The next prime is 223922333. The reversal of 223922328 is 823229322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004025 + ... + 1004247.

It is an arithmetic number, because the mean of its divisors is an integer number (5174400).

Almost surely, 2223922328 is an apocalyptic number.

223922328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223922328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331161600).

223922328 is an abundant number, since it is smaller than the sum of its proper divisors (438400872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223922328 is a wasteful number, since it uses less digits than its factorization.

223922328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 223922328 is about 14964.0344827189. The cubic root of 223922328 is about 607.2475904450.

The spelling of 223922328 in words is "two hundred twenty-three million, nine hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 139 168 172 223 258 278 301 344 417 446 516 556 602 669 834 892 903 973 1032 1112 1204 1338 1561 1668 1784 1806 1946 2408 2676 2919 3122 3336 3612 3892 4683 5352 5838 5977 6244 7224 7784 9366 9589 11676 11954 12488 17931 18732 19178 23352 23908 28767 30997 35862 37464 38356 41839 47816 57534 61994 67123 71724 76712 83678 92991 115068 123988 125517 134246 143448 167356 185982 201369 216979 230136 247976 251034 268492 334712 371964 402738 433958 502068 536984 650937 743928 805476 867916 1004136 1301874 1332871 1610952 1735832 2603748 2665742 3998613 5207496 5331484 7997226 9330097 10662968 15994452 18660194 27990291 31988904 37320388 55980582 74640776 111961164 223922328