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23265588720 = 24351129409743
BaseRepresentation
bin10101101010101111…
…001011010111110000
32020001102022100211010
4111222233023113300
5340121442314340
614404342150520
71452354145503
oct255257132760
966042270733
1023265588720
119959900180
124613722440
13226a0cc15a
1411a9ca513a
159127c2b80
hex56abcb5f0

23265588720 has 320 divisors, whose sum is σ = 81701913600. Its totient is φ = 5425029120.

The previous prime is 23265588679. The next prime is 23265588721. The reversal of 23265588720 is 2788556232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23265588720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265588721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31312669 + ... + 31313411.

It is an arithmetic number, because the mean of its divisors is an integer number (255318480).

Almost surely, 223265588720 is an apocalyptic number.

23265588720 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 23265588720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40850956800).

23265588720 is an abundant number, since it is smaller than the sum of its proper divisors (58436324880).

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

23265588720 is a wasteful number, since it uses less digits than its factorization.

23265588720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 23265588720 in words is "twenty-three billion, two hundred sixty-five million, five hundred eighty-eight thousand, seven hundred twenty".