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23185415820 = 22357371818243
BaseRepresentation
bin10101100101111101…
…010101111010001100
32012211211110011021110
4111211331111322030
5334440431301240
614352355532020
71450361532330
oct254575257214
965754404243
1023185415820
119918621086
1245b08ba010
13225660b178
14119d3957c0
1590a737c80
hex565f55e8c

23185415820 has 192 divisors, whose sum is σ = 76628837376. Its totient is φ = 5127183360.

The previous prime is 23185415819. The next prime is 23185415839. The reversal of 23185415820 is 2851458132.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808619 + ... + 2816861.

It is an arithmetic number, because the mean of its divisors is an integer number (399108528).

Almost surely, 223185415820 is an apocalyptic number.

23185415820 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 23185415820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38314418688).

23185415820 is an abundant number, since it is smaller than the sum of its proper divisors (53443421556).

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

23185415820 is a wasteful number, since it uses less digits than its factorization.

23185415820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 23185415820 in words is "twenty-three billion, one hundred eighty-five million, four hundred fifteen thousand, eight hundred twenty".