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20322306368 = 2671319434271
BaseRepresentation
bin10010111011010011…
…011100100101000000
31221110022000010110122
4102323103130211000
5313110002300433
613200321315412
71316414516420
oct227323344500
957408003418
1020322306368
118689459621
123b31a95b68
131bbb3b5870
14dab024480
157de1d4198
hex4bb4dc940

20322306368 has 224 divisors, whose sum is σ = 53473136640. Its totient is φ = 7437588480.

The previous prime is 20322306331. The next prime is 20322306383. The reversal of 20322306368 is 86360322302.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×203223063682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756073 + ... + 4760343.

It is an arithmetic number, because the mean of its divisors is an integer number (238719360).

Almost surely, 220322306368 is an apocalyptic number.

20322306368 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 20322306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26736568320).

20322306368 is an abundant number, since it is smaller than the sum of its proper divisors (33150830272).

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

20322306368 is a wasteful number, since it uses less digits than its factorization.

20322306368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 20322306368 in words is "twenty billion, three hundred twenty-two million, three hundred six thousand, three hundred sixty-eight".