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231281328 = 243173141223
BaseRepresentation
bin11011100100100…
…01001010110000
3121010012022100010
431302101022300
5433202000303
634541054520
75505600405
oct1562211260
9533168303
10231281328
111096090a3
1265557440
1338bba575
1422a062ac
1515487c03
hexdc912b0

231281328 has 160 divisors (see below), whose sum is σ = 671956992. Its totient is φ = 68198400.

The previous prime is 231281299. The next prime is 231281329. The reversal of 231281328 is 823182132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231281295 and 231281304.

It is not an unprimeable number, because it can be changed into a prime (231281329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037025 + ... + 1037247.

Almost surely, 2231281328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335978496).

231281328 is an abundant number, since it is smaller than the sum of its proper divisors (440675664).

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

231281328 is a wasteful number, since it uses less digits than its factorization.

231281328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 231281328 is about 15207.9363491566. The cubic root of 231281328 is about 613.8282295274.

The spelling of 231281328 in words is "two hundred thirty-one million, two hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 41 48 51 62 68 82 93 102 123 124 136 164 186 204 223 246 248 272 328 372 408 446 492 496 527 656 669 697 744 816 892 984 1054 1271 1338 1394 1488 1581 1784 1968 2091 2108 2542 2676 2788 3162 3568 3791 3813 4182 4216 5084 5352 5576 6324 6913 7582 7626 8364 8432 9143 10168 10704 11152 11373 12648 13826 15164 15252 16728 18286 20336 20739 21607 22746 25296 27429 27652 30328 30504 33456 36572 41478 43214 45492 54858 55304 60656 61008 64821 73144 82956 86428 90984 109716 110608 117521 129642 146288 155431 165912 172856 181968 219432 235042 259284 283433 310862 331824 345712 352563 438864 466293 470084 518568 566866 621724 705126 850299 932586 940168 1037136 1133732 1243448 1410252 1700598 1865172 1880336 2267464 2486896 2820504 3401196 3730344 4534928 4818361 5641008 6802392 7460688 9636722 13604784 14455083 19273444 28910166 38546888 57820332 77093776 115640664 231281328