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231256256 = 26711167281
BaseRepresentation
bin11011100100010…
…11000011000000
3121010011000221112
431302023003000
5433200200011
634540342452
75505434330
oct1562130300
9533130845
10231256256
111095a1280
1265544a28
1338bac02a
14229db0c0
151548058b
hexdc8b0c0

231256256 has 112 divisors (see below), whose sum is σ = 577608192. Its totient is φ = 89241600.

The previous prime is 231256247. The next prime is 231256261. The reversal of 231256256 is 652652132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2312562563 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822836 + ... + 823116.

It is an arithmetic number, because the mean of its divisors is an integer number (5157216).

Almost surely, 2231256256 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 231256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288804096).

231256256 is an abundant number, since it is smaller than the sum of its proper divisors (346351936).

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

231256256 is a wasteful number, since it uses less digits than its factorization.

231256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 231256256 is about 15207.1120203673. The cubic root of 231256256 is about 613.8060480891.

The spelling of 231256256 in words is "two hundred thirty-one million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 167 176 224 281 308 334 352 448 562 616 668 704 1124 1169 1232 1336 1837 1967 2248 2338 2464 2672 3091 3674 3934 4496 4676 4928 5344 6182 7348 7868 8992 9352 10688 12364 12859 14696 15736 17984 18704 21637 24728 25718 29392 31472 37408 43274 46927 49456 51436 58784 62944 74816 86548 93854 98912 102872 117568 125888 173096 187708 197824 205744 328489 346192 375416 411488 516197 656978 692384 750832 822976 1032394 1313956 1384768 1501664 2064788 2627912 3003328 3613379 4129576 5255824 7226758 8259152 10511648 14453516 16518304 21023296 28907032 33036608 57814064 115628128 231256256