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22039921152 = 29316
BaseRepresentation
bin10100100001101011…
…101000001000000000
32002220000000000000000
4110201223220020000
5330114204434102
614043000000000
71410112144614
oct244153501000
962800000000
1022039921152
11938aa62a77
124331160000
1321031bb982
1410d11b3344
1588edb701c
hex521ae8200

22039921152 has 170 divisors, whose sum is σ = 66055192863. Its totient is φ = 7346640384.

The previous prime is 22039921109. The next prime is 22039921187. The reversal of 22039921152 is 25112993022.

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.

22039921152 is a `hidden beast` number, since 2 + 2 + 0 + 399 + 211 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11019960576 + 11019960576 = 104976^2 + 104976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=3, B=1944.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 7346640383 + 7346640384 + 7346640385.

Almost surely, 222039921152 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 22039921152

22039921152 is an abundant number, since it is smaller than the sum of its proper divisors (44015271711).

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

22039921152 is an frugal number, since it uses more digits than its factorization.

22039921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

22039921152 divided by its sum of digits (36) gives a 7-th power (612220032 = 187).

The spelling of 22039921152 in words is "twenty-two billion, thirty-nine million, nine hundred twenty-one thousand, one hundred fifty-two".