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22499430912 = 29347174797
BaseRepresentation
bin10100111101000100…
…100001001000000000
32011002000122111220000
4110331010201020000
5332034323242122
614200332520000
71424362002330
oct247504411000
964060574800
1022499430912
1195a6384502
12443b020000
13217746803a
1411362290c0
158ba3d30ac
hex53d121200

22499430912 has 800 divisors, whose sum is σ = 83847633408. Its totient is φ = 5860491264.

The previous prime is 22499430901. The next prime is 22499430913. The reversal of 22499430912 is 21903499422.

22499430912 is a `hidden beast` number, since 2 + 249 + 94 + 309 + 12 = 666.

It is a super-2 number, since 2×224994309122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22499430913) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 231952848 + ... + 231952944.

Almost surely, 222499430912 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 22499430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41923816704).

22499430912 is an abundant number, since it is smaller than the sum of its proper divisors (61348202496).

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

22499430912 is an equidigital number, since it uses as much as digits as its factorization.

22499430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 22499430912 in words is "twenty-two billion, four hundred ninety-nine million, four hundred thirty thousand, nine hundred twelve".