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231377056 = 25233110141
BaseRepresentation
bin11011100101010…
…00100010100000
3121010101011122121
431302220202200
5433213031211
634543114024
75506446451
oct1562504240
9533334577
10231377056
11109674009
12655a2914
1338c22001
1422a2d128
15154a6271
hexdca88a0

231377056 has 48 divisors (see below), whose sum is σ = 490710528. Its totient is φ = 107078400.

The previous prime is 231376979. The next prime is 231377057. The reversal of 231377056 is 650773132.

231377056 = T2184 + T2185 + ... + T2276.

It is not an unprimeable number, because it can be changed into a prime (231377057) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17746 + ... + 27886.

It is an arithmetic number, because the mean of its divisors is an integer number (10223136).

Almost surely, 2231377056 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 231377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245355264).

231377056 is an abundant number, since it is smaller than the sum of its proper divisors (259333472).

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

231377056 is a wasteful number, since it uses less digits than its factorization.

231377056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 231377056 is about 15211.0833276266. The cubic root of 231377056 is about 613.9129062629.

The spelling of 231377056 in words is "two hundred thirty-one million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 10141 11408 20282 22816 40564 81128 162256 233243 314371 324512 466486 628742 932972 1257484 1865944 2514968 3731888 5029936 7230533 7463776 10059872 14461066 28922132 57844264 115688528 231377056