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22664097192 = 23311769111637
BaseRepresentation
bin10101000110111000…
…101010110110101000
32011111111111102120010
4111012320222312220
5332404002102232
614224534131520
71431431435052
oct250670526650
964444442503
1022664097192
119680323740
1244861b0ba0
1321a26006c9
1411500508d2
158c9aad0cc
hex546e2ada8

22664097192 has 64 divisors (see below), whose sum is σ = 61892107200. Its totient is φ = 6858915840.

The previous prime is 22664097191. The next prime is 22664097217. The reversal of 22664097192 is 29179046622.

It is a super-2 number, since 2×226640971922 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22664097191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147198 + ... + 258834.

It is an arithmetic number, because the mean of its divisors is an integer number (967064175).

Almost surely, 222664097192 is an apocalyptic number.

22664097192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22664097192 is an abundant number, since it is smaller than the sum of its proper divisors (39228010008).

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

22664097192 is a wasteful number, since it uses less digits than its factorization.

22664097192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112426 (or 112422 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 22664097192 in words is "twenty-two billion, six hundred sixty-four million, ninety-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 769 1538 2307 3076 4614 6152 8459 9228 16918 18456 25377 33836 50754 67672 101508 111637 203016 223274 334911 446548 669822 893096 1228007 1339644 2456014 2679288 3684021 4912028 7368042 9824056 14736084 29472168 85848853 171697706 257546559 343395412 515093118 686790824 944337383 1030186236 1888674766 2060372472 2833012149 3777349532 5666024298 7554699064 11332048596 22664097192