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231135268 = 227131016287
BaseRepresentation
bin11011100011011…
…01100000100100
3121002220212222111
431301231200210
5433132312033
634534010404
75504421520
oct1561554044
9532825874
10231135268
11109519391
12654a6a04
1338b68c40
14229a8d80
15154597cd
hexdc6d824

231135268 has 48 divisors (see below), whose sum is σ = 502838784. Its totient is φ = 90518400.

The previous prime is 231135253. The next prime is 231135269. The reversal of 231135268 is 862531132.

It is a super-2 number, since 2×2311352682 = 106847024226863648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231135269) 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 15 ways as a sum of consecutive naturals, for example, 33621 + ... + 39907.

It is an arithmetic number, because the mean of its divisors is an integer number (10475808).

Almost surely, 2231135268 is an apocalyptic number.

231135268 is a gapful number since it is divisible by the number (28) 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 231135268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251419392).

231135268 is an abundant number, since it is smaller than the sum of its proper divisors (271703516).

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

231135268 is a wasteful number, since it uses less digits than its factorization.

231135268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6410 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 231135268 is about 15203.1334928034. The cubic root of 231135268 is about 613.6989863067.

The spelling of 231135268 in words is "two hundred thirty-one million, one hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 2626 2828 5252 6287 9191 12574 18382 25148 36764 44009 81731 88018 163462 176036 326924 572117 634987 1144234 1269974 2288468 2539948 4444909 8254831 8889818 16509662 17779636 33019324 57783817 115567634 231135268