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231952896 = 293471747
BaseRepresentation
bin11011101001101…
…01001000000000
3121011110102120000
431310311020000
5433334443041
635003320000
75514365340
oct1564651000
9534412500
10231952896
11109a2770a
1265820000
1339094146
1422b3cd20
151556bbb6
hexdd35200

231952896 has 400 divisors, whose sum is σ = 855588096. Its totient is φ = 61046784.

The previous prime is 231952873. The next prime is 231952921. The reversal of 231952896 is 698259132.

231952896 is a `hidden beast` number, since 2 + 31 + 9 + 528 + 96 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4935145 + ... + 4935191.

Almost surely, 2231952896 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 231952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427794048).

231952896 is an abundant number, since it is smaller than the sum of its proper divisors (623635200).

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

231952896 is an equidigital number, since it uses as much as digits as its factorization.

231952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 231952896 is about 15229.9998686802. Note that the first 3 decimals coincide. The cubic root of 231952896 is about 614.4217765719.

The spelling of 231952896 in words is "two hundred thirty-one million, nine hundred fifty-two thousand, eight hundred ninety-six".