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22814306564 = 2272116338501
BaseRepresentation
bin10101001111110101…
…101011000100000100
32011212222010212002012
4111033311223010010
5333210430302224
614251501433352
71435234256210
oct251765530404
964788125065
1022814306564
119748099215
12450856b858
1321c77739aa
141165d91940
158d7d7e80e
hex54fd6b104

22814306564 has 24 divisors (see below), whose sum is σ = 45631954368. Its totient is φ = 9776844000.

The previous prime is 22814306551. The next prime is 22814306621. The reversal of 22814306564 is 46560341822.

It is a Smith number, since the sum of its digits (41) 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573314 + ... + 611814.

It is an arithmetic number, because the mean of its divisors is an integer number (1901331432).

Almost surely, 222814306564 is an apocalyptic number.

It is an amenable number.

22814306564 is an abundant number, since it is smaller than the sum of its proper divisors (22817647804).

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

22814306564 is a wasteful number, since it uses less digits than its factorization.

22814306564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59675 (or 59673 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 22814306564 in words is "twenty-two billion, eight hundred fourteen million, three hundred six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 21163 38501 42326 77002 84652 148141 154004 269507 296282 539014 592564 1078028 814796663 1629593326 3259186652 5703576641 11407153282 22814306564