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22138161192 = 2337741731
BaseRepresentation
bin10100100111100010…
…011000100000101000
32010010211212010000000
4110213202120200220
5330314332124232
614100425343000
71412414160000
oct244742304050
963124763000
1022138161192
119430462194
12435a037a60
13211a667384
141100267000
1589882027c
hex527898828

22138161192 has 640 divisors, whose sum is σ = 79378099200. Its totient is φ = 5761082880.

The previous prime is 22138161137. The next prime is 22138161217. The reversal of 22138161192 is 29116183122.

22138161192 is a `hidden beast` number, since 2 + 2 + 1 + 38 + 1 + 611 + 9 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 714134217 + ... + 714134247.

It is an arithmetic number, because the mean of its divisors is an integer number (124028280).

Almost surely, 222138161192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22138161192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39689049600).

22138161192 is an abundant number, since it is smaller than the sum of its proper divisors (57239938008).

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

22138161192 is an frugal number, since it uses more digits than its factorization.

22138161192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 22138161192 in words is "twenty-two billion, one hundred thirty-eight million, one hundred sixty-one thousand, one hundred ninety-two".