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22092635136 = 2103111350291
BaseRepresentation
bin10100100100110100…
…101101110000000000
32010000200012010222210
4110210310231300000
5330221203311021
614052121502120
71411322204655
oct244464556000
963020163883
1022092635136
119407797850
124346941940
1321110b7490
1410d81b5c2c
1589482ae76
hex524d2dc00

22092635136 has 176 divisors, whose sum is σ = 69180870528. Its totient is φ = 6179635200.

The previous prime is 22092635113. The next prime is 22092635161. The reversal of 22092635136 is 63153629022.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 22092635094 and 22092635103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 414151 + ... + 464441.

It is an arithmetic number, because the mean of its divisors is an integer number (393073128).

Almost surely, 222092635136 is an apocalyptic number.

22092635136 is a gapful number since it is divisible by the number (26) 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 22092635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34590435264).

22092635136 is an abundant number, since it is smaller than the sum of its proper divisors (47088235392).

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

22092635136 is a wasteful number, since it uses less digits than its factorization.

22092635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50338 (or 50320 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 22092635136 in words is "twenty-two billion, ninety-two million, six hundred thirty-five thousand, one hundred thirty-six".