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23023802880 = 2936513273
BaseRepresentation
bin10101011100010100…
…110101101000000000
32012102120100101000000
4111130110311220000
5334123043143010
614324344000000
71443360044511
oct253424655000
965376311000
1023023802880
119845377971
124566760000
13222bca4500
141185b26a08
158eb4627c0
hex55c535a00

23023802880 has 840 divisors, whose sum is σ = 90851030028. Its totient is φ = 5589762048.

The previous prime is 23023802869. The next prime is 23023802887. The reversal of 23023802880 is 8820832032.

It can be written as a sum of positive squares in 6 ways, for example, as 2823434496 + 20200368384 = 53136^2 + 142128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23023802887) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 315394524 + ... + 315394596.

Almost surely, 223023802880 is an apocalyptic number.

23023802880 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 23023802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45425515014).

23023802880 is an abundant number, since it is smaller than the sum of its proper divisors (67827227148).

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

23023802880 is an frugal number, since it uses more digits than its factorization.

23023802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 23023802880 in words is "twenty-three billion, twenty-three million, eight hundred two thousand, eight hundred eighty".