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22540041954 = 2322973591509
BaseRepresentation
bin10100111111011111…
…011011111011100010
32011011212001202202200
4110333133123323202
5332130222320304
614204343154030
71425364124013
oct247737337342
964155052680
1022540041954
1196172a2151
124450745916
1321829b6a41
14113b79b00a
158bdc55e39
hex53f7dbee2

22540041954 has 48 divisors (see below), whose sum is σ = 51212935800. Its totient is φ = 7154880768.

The previous prime is 22540041949. The next prime is 22540042009. The reversal of 22540041954 is 45914004522.

It is a happy number.

22540041954 is a `hidden beast` number, since 22 + 540 + 0 + 4 + 1 + 95 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20499080625 + 2040961329 = 143175^2 + 45177^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257649 + ... + 333860.

Almost surely, 222540041954 is an apocalyptic number.

22540041954 is an abundant number, since it is smaller than the sum of its proper divisors (28672893846).

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

22540041954 is a wasteful number, since it uses less digits than its factorization.

22540041954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591619 (or 591616 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22540041954 in words is "twenty-two billion, five hundred forty million, forty-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 438 522 657 1314 2117 4234 6351 12702 19053 38106 591509 1183018 1774527 3549054 5323581 10647162 17153761 34307522 43180157 51461283 86360314 102922566 129540471 154383849 259080942 308767698 388621413 777242826 1252224553 2504449106 3756673659 7513347318 11270020977 22540041954