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231664560 = 24356714407
BaseRepresentation
bin11011100111011…
…10101110110000
3121010220210000220
431303232232300
5433301231220
634553213040
75512054611
oct1563565660
9533823026
10231664560
11109850016
1265701180
1338cc2b2a
1422aa5c08
1515511540
hexdceebb0

231664560 has 80 divisors (see below), whose sum is σ = 728929536. Its totient is φ = 60850944.

The previous prime is 231664547. The next prime is 231664561. The reversal of 231664560 is 65466132.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (231664561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8877 + ... + 23283.

Almost surely, 2231664560 is an apocalyptic number.

231664560 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 231664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364464768).

231664560 is an abundant number, since it is smaller than the sum of its proper divisors (497264976).

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

231664560 is a wasteful number, since it uses less digits than its factorization.

231664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14490 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 231664560 is about 15220.5308711621. The cubic root of 231664560 is about 614.1670792043.

The spelling of 231664560 in words is "two hundred thirty-one million, six hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 14407 16080 28814 43221 57628 72035 86442 115256 144070 172884 216105 230512 288140 345768 432210 576280 691536 864420 965269 1152560 1728840 1930538 2895807 3457680 3861076 4826345 5791614 7722152 9652690 11583228 14479035 15444304 19305380 23166456 28958070 38610760 46332912 57916140 77221520 115832280 231664560