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23122552320 = 293257307467
BaseRepresentation
bin10101100010001101…
…100010011000000000
32012200110011100202200
4111202031202120000
5334323333133240
614342232313200
71445666310660
oct254215423000
965613140680
1023122552320
11989609487a
124593842800
13224659aa2a
141194cb01a0
15904e6b930
hex562362600

23122552320 has 480 divisors, whose sum is σ = 92014610688. Its totient is φ = 5256658944.

The previous prime is 23122552319. The next prime is 23122552333. The reversal of 23122552320 is 2325522132.

23122552320 is a `hidden beast` number, since 2 + 312 + 25 + 5 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×231225523202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49512727 + ... + 49513193.

Almost surely, 223122552320 is an apocalyptic number.

23122552320 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 23122552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46007305344).

23122552320 is an abundant number, since it is smaller than the sum of its proper divisors (68892058368).

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

23122552320 is a wasteful number, since it uses less digits than its factorization.

23122552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 23122552320 in words is "twenty-three billion, one hundred twenty-two million, five hundred fifty-two thousand, three hundred twenty".