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23225856192 = 26337111731009
BaseRepresentation
bin10101101000010111…
…100111000011000000
32012221122112202001000
4111220113213003000
5340031304344232
614400402412000
71451362343310
oct255027470300
965848482030
1023225856192
119939432580
124602361000
132261aca296
1411a48c1440
1590e07527c
hex5685e70c0

23225856192 has 448 divisors, whose sum is σ = 85704883200. Its totient is φ = 5991874560.

The previous prime is 23225856151. The next prime is 23225856221. The reversal of 23225856192 is 29165852232.

23225856192 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 585 + 61 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23018184 + ... + 23019192.

Almost surely, 223225856192 is an apocalyptic number.

23225856192 is a gapful number since it is divisible by the number (22) 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 23225856192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42852441600).

23225856192 is an abundant number, since it is smaller than the sum of its proper divisors (62479027008).

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

23225856192 is a wasteful number, since it uses less digits than its factorization.

23225856192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 23225856192 in words is "twenty-three billion, two hundred twenty-five million, eight hundred fifty-six thousand, one hundred ninety-two".