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231204864 = 2113112311
BaseRepresentation
bin11011100011111…
…10100000000000
3121010001102110010
431301332200000
5433142023424
634535304520
75505131442
oct1561764000
9533042403
10231204864
11109566700
126551b140
1338b91817
14229c6492
1515470229
hexdc7e800

231204864 has 144 divisors (see below), whose sum is σ = 679704480. Its totient is φ = 69836800.

The previous prime is 231204847. The next prime is 231204877. The reversal of 231204864 is 468402132.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743269 + ... + 743579.

It is an arithmetic number, because the mean of its divisors is an integer number (4720170).

Almost surely, 2231204864 is an apocalyptic number.

231204864 is a gapful number since it is divisible by the number (24) 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 231204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339852240).

231204864 is an abundant number, since it is smaller than the sum of its proper divisors (448499616).

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

231204864 is a wasteful number, since it uses less digits than its factorization.

231204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 231204864 is about 15205.4221907844. The cubic root of 231204864 is about 613.7605760833.

Adding to 231204864 its reverse (468402132), we get a palindrome (699606996).

The spelling of 231204864 in words is "two hundred thirty-one million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 311 352 363 384 484 512 528 622 704 726 768 933 968 1024 1056 1244 1408 1452 1536 1866 1936 2048 2112 2488 2816 2904 3072 3421 3732 3872 4224 4976 5632 5808 6144 6842 7464 7744 8448 9952 10263 11264 11616 13684 14928 15488 16896 19904 20526 22528 23232 27368 29856 30976 33792 37631 39808 41052 46464 54736 59712 61952 67584 75262 79616 82104 92928 109472 112893 119424 123904 150524 159232 164208 185856 218944 225786 238848 247808 301048 318464 328416 371712 437888 451572 477696 602096 636928 656832 743424 875776 903144 955392 1204192 1313664 1751552 1806288 1910784 2408384 2627328 3503104 3612576 4816768 5254656 7006208 7225152 9633536 10509312 14450304 19267072 21018624 28900608 38534144 57801216 77068288 115602432 231204864