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23257229760 = 263352992821
BaseRepresentation
bin10101101010001111…
…010010100111000000
32020000211120200111000
4111222033102213000
5340112322323020
614403443052000
71452223122402
oct255217224700
966024520430
1023257229760
119955110a46
124610971000
13226846351b
1411a8b2ab72
15911bc1090
hex56a3d29c0

23257229760 has 224 divisors, whose sum is σ = 84876436800. Its totient is φ = 5988003840.

The previous prime is 23257229753. The next prime is 23257229761. The reversal of 23257229760 is 6792275232.

23257229760 is a `hidden beast` number, since 2 + 3 + 2 + 572 + 2 + 9 + 76 + 0 = 666.

It is a super-2 number, since 2×232572297602 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23257229761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204150 + ... + 296970.

Almost surely, 223257229760 is an apocalyptic number.

23257229760 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 23257229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42438218400).

23257229760 is an abundant number, since it is smaller than the sum of its proper divisors (61619207040).

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

23257229760 is a wasteful number, since it uses less digits than its factorization.

23257229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92876 (or 92860 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 23257229760 in words is "twenty-three billion, two hundred fifty-seven million, two hundred twenty-nine thousand, seven hundred sixty".