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22142740928 = 267311107857
BaseRepresentation
bin10100100111110011…
…110110100111000000
32010011011110210012212
4110213303312213000
5330322020202203
614101111441252
71412501123000
oct244763664700
963134423185
1022142740928
119432aaaaa0
12435b686228
13211b5aba89
141100ada000
15898e271d8
hex527cf69c0

22142740928 has 224 divisors, whose sum is σ = 56487974400. Its totient is φ = 8536442880.

The previous prime is 22142740889. The next prime is 22142740931. The reversal of 22142740928 is 82904724122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25837076 + ... + 25837932.

Almost surely, 222142740928 is an apocalyptic number.

22142740928 is a gapful number since it is divisible by the number (28) 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 22142740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28243987200).

22142740928 is an abundant number, since it is smaller than the sum of its proper divisors (34345233472).

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

22142740928 is a wasteful number, since it uses less digits than its factorization.

22142740928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 22142740928 in words is "twenty-two billion, one hundred forty-two million, seven hundred forty thousand, nine hundred twenty-eight".