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22802313996 = 22337113173143
BaseRepresentation
bin10101001111000111…
…111011001100001100
32011212010120120101000
4111033013323030030
5333144343021441
614250352420300
71435030320360
oct251707731414
964763516330
1022802313996
119741348000
124504547690
1321c51351b7
14116454d2a0
158d6cb12b6
hex54f1fb30c

22802313996 has 768 divisors, whose sum is σ = 83112099840. Its totient is φ = 5269017600.

The previous prime is 22802313973. The next prime is 22802314021. The reversal of 22802313996 is 69931320822.

It is a happy number.

22802313996 is a `hidden beast` number, since 2 + 28 + 0 + 231 + 399 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 530286351 + ... + 530286393.

It is an arithmetic number, because the mean of its divisors is an integer number (108218880).

Almost surely, 222802313996 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 22802313996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41556049920).

22802313996 is an abundant number, since it is smaller than the sum of its proper divisors (60309785844).

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

22802313996 is a wasteful number, since it uses less digits than its factorization.

22802313996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

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

The spelling of 22802313996 in words is "twenty-two billion, eight hundred two million, three hundred thirteen thousand, nine hundred ninety-six".