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231218856 = 2332112910067
BaseRepresentation
bin11011100100000…
…01111010101000
3121010002010122100
431302001322220
5433143000411
634535453400
75505220311
oct1562017250
9533063570
10231218856
11109576170
1265527260
1338b97cbb
14229cb608
1515474456
hexdc81ea8

231218856 has 96 divisors (see below), whose sum is σ = 706773600. Its totient is φ = 67643520.

The previous prime is 231218851. The next prime is 231218857. The reversal of 231218856 is 658812132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 231218856.

It is not an unprimeable number, because it can be changed into a prime (231218851) 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 23 ways as a sum of consecutive naturals, for example, 17935 + ... + 28001.

It is an arithmetic number, because the mean of its divisors is an integer number (7362225).

Almost surely, 2231218856 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 231218856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353386800).

231218856 is an abundant number, since it is smaller than the sum of its proper divisors (475554744).

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

231218856 is a wasteful number, since it uses less digits than its factorization.

231218856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10112 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 231218856 is about 15205.8822828536. The cubic root of 231218856 is about 613.7729569715.

The spelling of 231218856 in words is "two hundred thirty-one million, two hundred eighteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 10067 11484 20134 22968 30201 40268 60402 80536 90603 110737 120804 181206 221474 241608 291943 332211 362412 442948 583886 664422 724824 875829 885896 996633 1167772 1328844 1751658 1993266 2335544 2627487 2657688 3211373 3503316 3986532 5254974 6422746 7006632 7973064 9634119 10509948 12845492 19268238 21019896 25690984 28902357 38536476 57804714 77072952 115609428 231218856