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231512064 = 211372769
BaseRepresentation
bin11011100110010…
…01100000000000
3121010122000211220
431303021200000
5433231341224
634550035040
75510551200
oct1563114000
9533560756
10231512064
11109756493
1265648a80
1338c6b5b4
1422a66400
15154d1279
hexdcc9800

231512064 has 144 divisors (see below), whose sum is σ = 718918200. Its totient is φ = 66060288.

The previous prime is 231512063. The next prime is 231512111. The reversal of 231512064 is 460215132.

231512064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231512063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300672 + ... + 301440.

Almost surely, 2231512064 is an apocalyptic number.

231512064 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 231512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359459100).

231512064 is an abundant number, since it is smaller than the sum of its proper divisors (487406136).

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

231512064 is an equidigital number, since it uses as much as digits as its factorization.

231512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 231512064 is about 15215.5204971766. The cubic root of 231512064 is about 614.0322886534.

Adding to 231512064 its reverse (460215132), we get a palindrome (691727196).

The spelling of 231512064 in words is "two hundred thirty-one million, five hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 769 784 896 1024 1176 1344 1536 1538 1568 1792 2048 2307 2352 2688 3072 3076 3136 3584 4614 4704 5376 5383 6144 6152 6272 7168 9228 9408 10752 10766 12304 12544 14336 16149 18456 18816 21504 21532 24608 25088 32298 36912 37632 37681 43008 43064 49216 50176 64596 73824 75264 75362 86128 98432 100352 113043 129192 147648 150528 150724 172256 196864 226086 258384 295296 301056 301448 344512 393728 452172 516768 590592 602896 689024 787456 904344 1033536 1181184 1205792 1378048 1574912 1808688 2067072 2362368 2411584 2756096 3617376 4134144 4724736 4823168 5512192 7234752 8268288 9646336 11024384 14469504 16536576 19292672 28939008 33073152 38585344 57878016 77170688 115756032 231512064