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22875048000 = 2635537412
BaseRepresentation
bin10101010011011101…
…011000100001000000
32012001012102211200000
4111103131120201000
5333322003014000
614301511400000
71436602462020
oct252335304100
965035384600
1022875048000
119779406152
124524983000
13220722027c
141170083a80
158dd37c000
hex553758840

22875048000 has 1008 divisors, whose sum is σ = 99404253312. Its totient is φ = 5101056000.

The previous prime is 22875047983. The next prime is 22875048013. The reversal of 22875048000 is 84057822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 557927980 + ... + 557928020.

Almost surely, 222875048000 is an apocalyptic number.

22875048000 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 22875048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49702126656).

22875048000 is an abundant number, since it is smaller than the sum of its proper divisors (76529205312).

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

22875048000 is an frugal number, since it uses more digits than its factorization.

22875048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 22875048000 in words is "twenty-two billion, eight hundred seventy-five million, forty-eight thousand".