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22106704392 = 233217413731181
BaseRepresentation
bin10100100101101010…
…011000101000001000
32010001122122221101100
4110211222120220020
5330233304020032
614053343221400
71411552613133
oct244552305010
963048587340
1022106704392
119414727233
12434b5a7860
132113ca2296
1410d9dd921a
15895ba997c
hex525a98a08

22106704392 has 192 divisors, whose sum is σ = 65169664560. Its totient is φ = 6742425600.

The previous prime is 22106704387. The next prime is 22106704397. The reversal of 22106704392 is 29340760122.

22106704392 is a `hidden beast` number, since 2 + 210 + 6 + 7 + 0 + 439 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22106704387) and next prime (22106704397).

It can be written as a sum of positive squares in 8 ways, for example, as 13984008516 + 8122695876 = 118254^2 + 90126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22106704397) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18718042 + ... + 18719222.

Almost surely, 222106704392 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 22106704392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32584832280).

22106704392 is an abundant number, since it is smaller than the sum of its proper divisors (43062960168).

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

22106704392 is a wasteful number, since it uses less digits than its factorization.

22106704392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22106704392 in words is "twenty-two billion, one hundred six million, seven hundred four thousand, three hundred ninety-two".