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231239272 = 231119229251
BaseRepresentation
bin11011100100001…
…10111001101000
3121010010011122111
431302012321220
5433144124042
634540132104
75505333655
oct1562067150
9533104574
10231239272
1110958a540
1265537034
1338ba4394
14229d4c2c
151547a517
hexdc86e68

231239272 has 96 divisors (see below), whose sum is σ = 518464800. Its totient is φ = 95760000.

The previous prime is 231239237. The next prime is 231239279. The reversal of 231239272 is 272932132.

231239272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231239279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921147 + ... + 921397.

It is an arithmetic number, because the mean of its divisors is an integer number (5400675).

Almost surely, 2231239272 is an apocalyptic number.

231239272 is a gapful number since it is divisible by the number (22) 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 231239272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259232400).

231239272 is an abundant number, since it is smaller than the sum of its proper divisors (287225528).

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

231239272 is a wasteful number, since it uses less digits than its factorization.

231239272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 231239272 is about 15206.5535871873. The cubic root of 231239272 is about 613.7910212709.

The spelling of 231239272 in words is "two hundred thirty-one million, two hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 251 319 361 418 502 551 638 722 836 1004 1102 1276 1444 1672 2008 2204 2552 2761 2888 3971 4408 4769 5522 6061 7279 7942 9538 10469 11044 12122 14558 15884 19076 20938 22088 24244 29116 31768 38152 41876 48488 52459 58232 80069 83752 90611 104918 115159 138301 160138 181222 209836 230318 276602 320276 362444 419672 460636 553204 640552 724888 921272 996721 1106408 1521311 1993442 2627719 3042622 3986884 5255438 6085244 7973768 10510876 12170488 21021752 28904909 57809818 115619636 231239272