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23330118564 = 2232254572
BaseRepresentation
bin10101101110100101…
…010101101110100100
32020012220201211010100
4111232211111232210
5340240002243224
614415005224100
71454066510244
oct255645255644
966186654110
1023330118564
119992275425
124631262030
13227a5a3bac
1411b46a1b24
159182bcac9
hex56e955ba4

23330118564 has 27 divisors (see below), whose sum is σ = 58975671937. Its totient is φ = 7776400704.

The previous prime is 23330118551. The next prime is 23330118577. The reversal of 23330118564 is 46581103332.

The square root of 23330118564 is 152742.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23330118551) and next prime (23330118577).

It can be written as a sum of positive squares in only one way, i.e., 526702500 + 22803416064 = 22950^2 + 151008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 903724 + ... + 929180.

Almost surely, 223330118564 is an apocalyptic number.

23330118564 is the 152742-nd square number.

It is an amenable number.

23330118564 is an abundant number, since it is smaller than the sum of its proper divisors (35645553373).

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

23330118564 is an frugal number, since it uses more digits than its factorization.

23330118564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50924 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 23330118564 by its sum of digits (36), we get a square (839884268304 = 9164522).

23330118564 divided by its sum of digits (36) gives a square (648058849 = 254572).

The spelling of 23330118564 in words is "twenty-three billion, three hundred thirty million, one hundred eighteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 25457 50914 76371 101828 152742 229113 305484 458226 916452 648058849 1296117698 1944176547 2592235396 3888353094 5832529641 7776706188 11665059282 23330118564