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231052512 = 25329149557
BaseRepresentation
bin11011100010110…
…01010011100000
3121002202200110110
431301121103200
5433122140022
634532131320
75503625325
oct1561312340
9532680413
10231052512
11109472199
1265466b40
1338b3a382
1422986b4c
151544000c
hexdc594e0

231052512 has 96 divisors (see below), whose sum is σ = 632772000. Its totient is φ = 73730048.

The previous prime is 231052511. The next prime is 231052529. The reversal of 231052512 is 215250132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231052511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414538 + ... + 415094.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2231052512 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 231052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316386000).

231052512 is an abundant number, since it is smaller than the sum of its proper divisors (401719488).

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

231052512 is a wasteful number, since it uses less digits than its factorization.

231052512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 231052512 is about 15200.4115733752. The cubic root of 231052512 is about 613.6257343444.

The spelling of 231052512 in words is "two hundred thirty-one million, fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 149 174 232 298 348 447 464 557 596 696 894 928 1114 1192 1392 1671 1788 2228 2384 2784 3342 3576 4321 4456 4768 6684 7152 8642 8912 12963 13368 14304 16153 17284 17824 25926 26736 32306 34568 48459 51852 53472 64612 69136 82993 96918 103704 129224 138272 165986 193836 207408 248979 258448 331972 387672 414816 497958 516896 663944 775344 995916 1327888 1550688 1991832 2406797 2655776 3983664 4813594 7220391 7967328 9627188 14440782 19254376 28881564 38508752 57763128 77017504 115526256 231052512