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22344898680 = 23335139111747
BaseRepresentation
bin10100110011110111…
…000001100001111000
32010200020212110112000
4110303313001201320
5331230243224210
614133132421000
71420504335126
oct246367014170
963606773460
1022344898680
119527127115
1243b7317760
132151440250
14111d8c0916
158aba5aac0
hex533dc1878

22344898680 has 256 divisors, whose sum is σ = 80346470400. Its totient is φ = 5491100160.

The previous prime is 22344898669. The next prime is 22344898691. The reversal of 22344898680 is 8689844322.

22344898680 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 489 + 86 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22344898669) and next prime (22344898691).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12789567 + ... + 12791313.

It is an arithmetic number, because the mean of its divisors is an integer number (313853400).

Almost surely, 222344898680 is an apocalyptic number.

22344898680 is a gapful number since it is divisible by the number (20) 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 22344898680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40173235200).

22344898680 is an abundant number, since it is smaller than the sum of its proper divisors (58001571720).

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

22344898680 is a wasteful number, since it uses less digits than its factorization.

22344898680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 22344898680 in words is "twenty-two billion, three hundred forty-four million, eight hundred ninety-eight thousand, six hundred eighty".