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231151232 = 2713532621
BaseRepresentation
bin11011100011100…
…01011010000000
3121002221200212202
431301301122000
5433133314412
634534212332
75504516204
oct1561613200
9532850782
10231151232
1110952a384
12654b40a8
1338b732a0
14229b0b04
151545e3c2
hexdc71680

231151232 has 64 divisors (see below), whose sum is σ = 505469160. Its totient is φ = 104632320.

The previous prime is 231151229. The next prime is 231151241. The reversal of 231151232 is 232151132.

It can be written as a sum of positive squares in 4 ways, for example, as 211295296 + 19855936 = 14536^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86882 + ... + 89502.

Almost surely, 2231151232 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 231151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252734580).

231151232 is an abundant number, since it is smaller than the sum of its proper divisors (274317928).

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

231151232 is a wasteful number, since it uses less digits than its factorization.

231151232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2689 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 231151232 is about 15203.6585070831. The cubic root of 231151232 is about 613.7131149238.

The spelling of 231151232 in words is "two hundred thirty-one million, one hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2621 2756 3392 5242 5512 6784 10484 11024 20968 22048 34073 41936 44096 68146 83872 88192 136292 138913 167744 272584 277826 335488 545168 555652 1090336 1111304 1805869 2180672 2222608 3611738 4361344 4445216 7223476 8890432 14446952 17780864 28893904 57787808 115575616 231151232