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22344634368 = 212327131661
BaseRepresentation
bin10100110011110110…
…000001000000000000
32010200020101000221200
4110303312001000000
5331230211244433
614133123021200
71420502154420
oct246366010000
963606330850
1022344634368
119526a66581
1243b720a800
132151379b54
14111d852480
158aba07613
hex533d81000

22344634368 has 312 divisors, whose sum is σ = 74439283776. Its totient is φ = 6325862400.

The previous prime is 22344634349. The next prime is 22344634379. The reversal of 22344634368 is 86343644322.

It is a happy number.

22344634368 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 4 + 634 + 3 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 33803958 + ... + 33804618.

It is an arithmetic number, because the mean of its divisors is an integer number (238587448).

Almost surely, 222344634368 is an apocalyptic number.

22344634368 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 22344634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37219641888).

22344634368 is an abundant number, since it is smaller than the sum of its proper divisors (52094649408).

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

22344634368 is a wasteful number, since it uses less digits than its factorization.

22344634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 804 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 22344634368 in words is "twenty-two billion, three hundred forty-four million, six hundred thirty-four thousand, three hundred sixty-eight".