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231934112 = 2529293853
BaseRepresentation
bin11011101001100…
…00100010100000
3121011102110210022
431310300202200
5433333342422
635003053012
75514256514
oct1564604240
9534373708
10231934112
11109a14593
1265811168
1339088727
1422b36144
1515566342
hexdd308a0

231934112 has 48 divisors (see below), whose sum is σ = 474533640. Its totient is φ = 111455232.

The previous prime is 231934103. The next prime is 231934127. The reversal of 231934112 is 211439132.

It can be written as a sum of positive squares in 4 ways, for example, as 200618896 + 31315216 = 14164^2 + 5596^2 .

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 7 ways as a sum of consecutive naturals, for example, 271478 + ... + 272330.

Almost surely, 2231934112 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 231934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237266820).

231934112 is an abundant number, since it is smaller than the sum of its proper divisors (242599528).

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

231934112 is a wasteful number, since it uses less digits than its factorization.

231934112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1177 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 231934112 is about 15229.3831785795. The cubic root of 231934112 is about 614.4051904311.

The spelling of 231934112 in words is "two hundred thirty-one million, nine hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 293 464 586 853 928 1172 1706 2344 3412 4688 6824 8497 9376 13648 16994 24737 27296 33988 49474 67976 98948 135952 197896 249929 271904 395792 499858 791584 999716 1999432 3998864 7247941 7997728 14495882 28991764 57983528 115967056 231934112