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23056560800 = 25527131979211
BaseRepresentation
bin10101011110010001…
…110011001010100000
32012111211222122102022
4111132101303022200
5334204434421200
614331514041012
71444235350610
oct253621631240
965454878368
1023056560800
119861911429
124575719168
132235a038b0
14118a212a40
158ee283885
hex55e4732a0

23056560800 has 576 divisors, whose sum is σ = 74195251200. Its totient is φ = 6793113600.

The previous prime is 23056560799. The next prime is 23056560823. The reversal of 23056560800 is 806565032.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109272695 + ... + 109272905.

It is an arithmetic number, because the mean of its divisors is an integer number (128811200).

Almost surely, 223056560800 is an apocalyptic number.

23056560800 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 23056560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37097625600).

23056560800 is an abundant number, since it is smaller than the sum of its proper divisors (51138690400).

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

23056560800 is a wasteful number, since it uses less digits than its factorization.

23056560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 23056560800 in words is "twenty-three billion, fifty-six million, five hundred sixty thousand, eight hundred".