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23252504220 = 223351137241439
BaseRepresentation
bin10101101001111101…
…010000111010011100
32020000111200121021000
4111221331100322130
5340110120113340
614403153510300
71452135011331
oct255175207234
966014617230
1023252504220
119952483640
12460b272390
13226749a64a
1411a825a988
1591158ad30
hex569f50e9c

23252504220 has 384 divisors, whose sum is σ = 81572198400. Its totient is φ = 5449420800.

The previous prime is 23252504207. The next prime is 23252504221. The reversal of 23252504220 is 2240525232.

23252504220 is a `hidden beast` number, since 232 + 5 + 2 + 5 + 0 + 422 + 0 = 666.

It is a super-2 number, since 2×232525042202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23252504221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52966761 + ... + 52967199.

It is an arithmetic number, because the mean of its divisors is an integer number (212427600).

Almost surely, 223252504220 is an apocalyptic number.

23252504220 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 23252504220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40786099200).

23252504220 is an abundant number, since it is smaller than the sum of its proper divisors (58319694180).

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

23252504220 is a wasteful number, since it uses less digits than its factorization.

23252504220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 23252504220 in words is "twenty-three billion, two hundred fifty-two million, five hundred four thousand, two hundred twenty".