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23165256260 = 2252970956333
BaseRepresentation
bin10101100100110000…
…011100001001000100
32012210102111221120002
4111210300130021010
5334420301200020
614350355500432
71450025300156
oct254460341104
965712457502
1023165256260
119908201993
1245a5bb7718
1322523a0233
14119a828ad6
15908aa4975
hex564c1c244

23165256260 has 48 divisors (see below), whose sum is σ = 50396396400. Its totient is φ = 8933804544.

The previous prime is 23165256251. The next prime is 23165256263. The reversal of 23165256260 is 6265256132.

It can be written as a sum of positive squares in 8 ways, for example, as 7268585536 + 15896670724 = 85256^2 + 126082^2 .

It is not an unprimeable number, because it can be changed into a prime (23165256263) 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, 383054 + ... + 439386.

It is an arithmetic number, because the mean of its divisors is an integer number (1049924925).

Almost surely, 223165256260 is an apocalyptic number.

23165256260 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 23165256260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198198200).

23165256260 is an abundant number, since it is smaller than the sum of its proper divisors (27231140140).

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

23165256260 is a wasteful number, since it uses less digits than its factorization.

23165256260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57080 (or 57078 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 23165256260 in words is "twenty-three billion, one hundred sixty-five million, two hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 709 1418 2836 3545 7090 14180 20561 41122 56333 82244 102805 112666 205610 225332 281665 411220 563330 1126660 1633657 3267314 6534628 8168285 16336570 32673140 39940097 79880194 159760388 199700485 399400970 798801940 1158262813 2316525626 4633051252 5791314065 11582628130 23165256260