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23281858080 = 25335133143311
BaseRepresentation
bin10101101011101101…
…001111011000100000
32020002112220221012000
4111223231033120200
5340140123424310
614410123004000
71452642346155
oct255355173040
966075827160
1023281858080
119968002628
124619069600
1322705a74b0
1411ac0dc22c
15913e384c0
hex56bb4f620

23281858080 has 768 divisors, whose sum is σ = 92990177280. Its totient is φ = 5399654400.

The previous prime is 23281858021. The next prime is 23281858087. The reversal of 23281858080 is 8085818232.

It is a super-2 number, since 2×232818580802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23281858087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74861125 + ... + 74861435.

It is an arithmetic number, because the mean of its divisors is an integer number (121080960).

Almost surely, 223281858080 is an apocalyptic number.

23281858080 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 23281858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46495088640).

23281858080 is an abundant number, since it is smaller than the sum of its proper divisors (69708319200).

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

23281858080 is a wasteful number, since it uses less digits than its factorization.

23281858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 23281858080 in words is "twenty-three billion, two hundred eighty-one million, eight hundred fifty-eight thousand, eighty".