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231757064 = 23721171757
BaseRepresentation
bin11011101000001…
…01010100001000
3121011002110220222
431310011110020
5433312211224
634555205212
75512621400
oct1564052410
9534073828
10231757064
11109903570
1265746808
1339025c76
1422acb800
151552db5e
hexdd05508

231757064 has 96 divisors (see below), whose sum is σ = 559949760. Its totient is φ = 88905600.

The previous prime is 231757027. The next prime is 231757069. The reversal of 231757064 is 460757132.

It is a super-2 number, since 2×2317570642 = 107422673427800192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231757069) 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 23 ways as a sum of consecutive naturals, for example, 305774 + ... + 306530.

It is an arithmetic number, because the mean of its divisors is an integer number (5832810).

Almost surely, 2231757064 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 231757064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279974880).

231757064 is an abundant number, since it is smaller than the sum of its proper divisors (328192696).

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

231757064 is a wasteful number, since it uses less digits than its factorization.

231757064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 231757064 is about 15223.5693580711. The cubic root of 231757064 is about 614.2488142660.

The spelling of 231757064 in words is "two hundred thirty-one million, seven hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 71 77 88 98 142 154 196 284 308 392 497 539 568 616 757 781 994 1078 1514 1562 1988 2156 3028 3124 3479 3976 4312 5299 5467 6056 6248 6958 8327 10598 10934 13916 16654 21196 21868 27832 33308 37093 38269 42392 43736 53747 58289 66616 74186 76538 107494 116578 148372 153076 214988 233156 296744 306152 376229 408023 429976 466312 591217 752458 816046 1182434 1504916 1632092 2364868 2633603 3009832 3264184 4138519 4729736 5267206 8277038 10534412 16554076 21068824 28969633 33108152 57939266 115878532 231757064