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231285792 = 25323312109
BaseRepresentation
bin11011100100100…
…10010000100000
3121010012112110110
431302102100200
5433202121132
634541131320
75505616413
oct1562222040
9533175413
10231285792
11109611491
1265559b40
1338bbc5ca
1422a07b7a
15154891cc
hexdc92420

231285792 has 144 divisors (see below), whose sum is σ = 660623040. Its totient is φ = 70709760.

The previous prime is 231285781. The next prime is 231285829. The reversal of 231285792 is 297582132.

Its product of digits (60480) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 231285792.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2121834 + ... + 2121942.

It is an arithmetic number, because the mean of its divisors is an integer number (4587660).

Almost surely, 2231285792 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 231285792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330311520).

231285792 is an abundant number, since it is smaller than the sum of its proper divisors (429337248).

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

231285792 is a wasteful number, since it uses less digits than its factorization.

231285792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 231285792 is about 15208.0831139233. The cubic root of 231285792 is about 613.8321787027.

It can be divided in two parts, 23128 and 5792, that added together give a triangular number (28920 = T240).

The spelling of 231285792 in words is "two hundred thirty-one million, two hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 109 124 138 184 186 218 248 276 327 368 372 436 496 552 654 713 736 744 872 961 992 1104 1308 1426 1488 1744 1922 2139 2208 2507 2616 2852 2883 2976 3379 3488 3844 4278 5014 5232 5704 5766 6758 7521 7688 8556 10028 10137 10464 11408 11532 13516 15042 15376 17112 20056 20274 22103 22816 23064 27032 30084 30752 34224 40112 40548 44206 46128 54064 60168 66309 68448 77717 80224 81096 88412 92256 104749 108128 120336 132618 155434 162192 176824 209498 233151 240672 265236 310868 314247 324384 353648 418996 466302 530472 621736 628494 707296 837992 932604 1060944 1243472 1256988 1675984 1865208 2121888 2409227 2486944 2513976 3351968 3730416 4818454 5027952 7227681 7460832 9636908 10055904 14455362 19273816 28910724 38547632 57821448 77095264 115642896 231285792