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23021568000 = 21432531249
BaseRepresentation
bin10101011100001100…
…010100000000000000
32012102102010211022200
4111130030110000000
5334122010134000
614324224033200
71443332046024
oct253414240000
965372124280
1023021568000
119844090862
124565a62800
13222b6a11b2
141185704384
158eb170500
hex55c314000

23021568000 has 360 divisors, whose sum is σ = 83064345000. Its totient is φ = 6134169600.

The previous prime is 23021567999. The next prime is 23021568023. The reversal of 23021568000 is 86512032.

It can be written as a sum of positive squares in 4 ways, for example, as 1504198656 + 21517369344 = 38784^2 + 146688^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431376 + ... + 18432624.

Almost surely, 223021568000 is an apocalyptic number.

23021568000 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 23021568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41532172500).

23021568000 is an abundant number, since it is smaller than the sum of its proper divisors (60042777000).

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

23021568000 is an equidigital number, since it uses as much as digits as its factorization.

23021568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23021568000 in words is "twenty-three billion, twenty-one million, five hundred sixty-eight thousand".