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22140047160 = 2332571119127331
BaseRepresentation
bin10100100111101001…
…100100111100111000
32010010222101221001200
4110213221210330320
5330320323002120
614100534014200
71412436203310
oct244751447470
963128357050
1022140047160
119431530140
12435a7a7360
13211ab7792a
1411005d8440
15898a93e90
hex527a64f38

22140047160 has 768 divisors, whose sum is σ = 95463014400. Its totient is φ = 4311014400.

The previous prime is 22140047159. The next prime is 22140047197. The reversal of 22140047160 is 6174004122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66888195 + ... + 66888525.

It is an arithmetic number, because the mean of its divisors is an integer number (124300800).

Almost surely, 222140047160 is an apocalyptic number.

22140047160 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 22140047160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47731507200).

22140047160 is an abundant number, since it is smaller than the sum of its proper divisors (73322967240).

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

22140047160 is a wasteful number, since it uses less digits than its factorization.

22140047160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 22140047160 in words is "twenty-two billion, one hundred forty million, forty-seven thousand, one hundred sixty".