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231372960 = 25357135297
BaseRepresentation
bin11011100101001…
…11100010100000
3121010100222000220
431302213202200
5433212413320
634543043040
75506431510
oct1562474240
9533328026
10231372960
11109670a25
12655a0480
1338c201a0
1422a2b840
15154a4e40
hexdca78a0

231372960 has 192 divisors, whose sum is σ = 897184512. Its totient is φ = 48807936.

The previous prime is 231372949. The next prime is 231372971. The reversal of 231372960 is 69273132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231372949) and next prime (231372971).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41032 + ... + 46328.

It is an arithmetic number, because the mean of its divisors is an integer number (4672836).

Almost surely, 2231372960 is an apocalyptic number.

231372960 is a gapful number since it is divisible by the number (20) 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 231372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448592256).

231372960 is an abundant number, since it is smaller than the sum of its proper divisors (665811552).

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

231372960 is a wasteful number, since it uses less digits than its factorization.

231372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 231372960 is about 15210.9486883626. The cubic root of 231372960 is about 613.9092836017.

The spelling of 231372960 in words is "two hundred thirty-one million, three hundred seventy-two thousand, nine hundred sixty".