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23131474560 = 273451373257
BaseRepresentation
bin10101100010101111…
…100100101010000000
32012201001221122210000
4111202233210222000
5334333124141220
614343151440000
71446135201225
oct254257445200
965631848700
1023131474560
1198a0129227
124596826000
1322483a2b6c
14119615394c
15905b30390
hex562be4a80

23131474560 has 320 divisors, whose sum is σ = 83235188520. Its totient is φ = 6121488384.

The previous prime is 23131474559. The next prime is 23131474573. The reversal of 23131474560 is 6547413132.

23131474560 is a `hidden beast` number, since 2 + 3 + 13 + 14 + 74 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22020185664 + 1111288896 = 148392^2 + 33336^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7100452 + ... + 7103708.

Almost surely, 223131474560 is an apocalyptic number.

23131474560 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 23131474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41617594260).

23131474560 is an abundant number, since it is smaller than the sum of its proper divisors (60103713960).

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

23131474560 is a wasteful number, since it uses less digits than its factorization.

23131474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 23131474560 its reverse (6547413132), we get a palindrome (29678887692).

The spelling of 23131474560 in words is "twenty-three billion, one hundred thirty-one million, four hundred seventy-four thousand, five hundred sixty".