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22161019392 = 2934172432
BaseRepresentation
bin10100101000111001…
…100101001000000000
32010012102212102120000
4110220321211020000
5330341210110032
614103003320000
71413112361661
oct245071451000
963172772500
1022161019392
119442354966
124365820000
13212230b735
1411032d7368
1589a837e7c
hex528e65200

22161019392 has 450 divisors, whose sum is σ = 71936614233. Its totient is φ = 6790791168.

The previous prime is 22161019357. The next prime is 22161019399. The reversal of 22161019392 is 29391016122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22161019392 is a `hidden beast` number, since 2 + 2 + 1 + 610 + 1 + 9 + 39 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20282317056 + 1878702336 = 142416^2 + 43344^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105264.

It is a super-2 number, since 2×221610193922 (a number of 21 digits) contains 22 as substring.

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 (22161019399) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 515372523 + ... + 515372565.

Almost surely, 222161019392 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 22161019392

22161019392 is an abundant number, since it is smaller than the sum of its proper divisors (49775594841).

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

22161019392 is an frugal number, since it uses more digits than its factorization.

22161019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 22161019392 in words is "twenty-two billion, one hundred sixty-one million, nineteen thousand, three hundred ninety-two".