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231084252 = 2236711321
BaseRepresentation
bin11011100011000…
…01000011011100
3121002211022000000
431301201003130
5433124144002
634532534300
75504120010
oct1561410334
9532738000
10231084252
11109494023
1265481390
1338b4b959
1422994540
151544961c
hexdc610dc

231084252 has 84 divisors (see below), whose sum is σ = 692996976. Its totient is φ = 66018240.

The previous prime is 231084239. The next prime is 231084253. The reversal of 231084252 is 252480132.

231084252 is a `hidden beast` number, since 231 + 0 + 8 + 425 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231084253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14752 + ... + 26072.

It is an arithmetic number, because the mean of its divisors is an integer number (8249964).

Almost surely, 2231084252 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 231084252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346498488).

231084252 is an abundant number, since it is smaller than the sum of its proper divisors (461912724).

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

231084252 is a wasteful number, since it uses less digits than its factorization.

231084252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11333 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 231084252 is about 15201.4555881994. The cubic root of 231084252 is about 613.6538312603.

The spelling of 231084252 in words is "two hundred thirty-one million, eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 11321 20412 22642 33963 45284 67926 79247 101889 135852 158494 203778 237741 305667 316988 407556 475482 611334 713223 917001 950964 1222668 1426446 1834002 2139669 2751003 2852892 3668004 4279338 5502006 6419007 8253009 8558676 11004012 12838014 16506018 19257021 25676028 33012036 38514042 57771063 77028084 115542126 231084252