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231516252 = 2233112337229
BaseRepresentation
bin11011100110010…
…10100001011100
3121010122020121000
431303022201130
5433232010002
634550110300
75510566332
oct1563124134
9533566530
10231516252
11109759650
126564b390
1338c70486
1422a67b52
15154d261c
hexdcca85c

231516252 has 192 divisors, whose sum is σ = 704793600. Its totient is φ = 65007360.

The previous prime is 231516247. The next prime is 231516281. The reversal of 231516252 is 252615132.

It is a happy number.

231516252 is a `hidden beast` number, since 2 + 31 + 5 + 1 + 625 + 2 = 666.

231516252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010874 + ... + 1011102.

It is an arithmetic number, because the mean of its divisors is an integer number (3670800).

Almost surely, 2231516252 is an apocalyptic number.

231516252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231516252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352396800).

231516252 is an abundant number, since it is smaller than the sum of its proper divisors (473277348).

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

231516252 is a wasteful number, since it uses less digits than its factorization.

231516252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 231516252 is about 15215.6581191876. The cubic root of 231516252 is about 614.0359911987.

It can be divided in two parts, 23151 and 6252, that added together give a triangular number (29403 = T242).

The spelling of 231516252 in words is "two hundred thirty-one million, five hundred sixteen thousand, two hundred fifty-two".