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22156113168 = 24337311271861
BaseRepresentation
bin10100101000100110…
…110111010100010000
32010012002122011111000
4110220212313110100
5330333431110133
614102310222000
71413022566060
oct245046672420
963162564430
1022156113168
11943a603832
124364054900
1321212b1547
1411027bb3a0
1589a1b9413
hex5289b7510

22156113168 has 320 divisors, whose sum is σ = 75657379840. Its totient is φ = 6074611200.

The previous prime is 22156113167. The next prime is 22156113181. The reversal of 22156113168 is 86131165122.

22156113168 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 611 + 31 + 6 + 8 = 666.

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 (22156113167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11904558 + ... + 11906418.

It is an arithmetic number, because the mean of its divisors is an integer number (236429312).

Almost surely, 222156113168 is an apocalyptic number.

22156113168 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 22156113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828689920).

22156113168 is an abundant number, since it is smaller than the sum of its proper divisors (53501266672).

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

22156113168 is a wasteful number, since it uses less digits than its factorization.

22156113168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2031 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 22156113168 in words is "twenty-two billion, one hundred fifty-six million, one hundred thirteen thousand, one hundred sixty-eight".