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22523313250640 = 2452973132990749
BaseRepresentation
bin1010001111100000111100…
…00101011110000101010000
32221202012121102111220112202
411013300132011132011100
510423010221143010030
6115523022310142332
74513153461534146
oct507603605360520
987665542456482
1022523313250640
1171a40a116a604
1226392040519a8
13c74c29912127
1457c1c4281596
15290d3a531745
hex147c1e15e150

22523313250640 has 80 divisors (see below), whose sum is σ = 54914540490000. Its totient is φ = 8579499134976.

The previous prime is 22523313250637. The next prime is 22523313250661. The reversal of 22523313250640 is 4605231332522.

It can be written as a sum of positive squares in 8 ways, for example, as 1786510252816 + 20736802997824 = 1336604^2 + 4553768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22523313250594 and 22523313250603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66326015 + ... + 66664734.

It is an arithmetic number, because the mean of its divisors is an integer number (686431756125).

Almost surely, 222523313250640 is an apocalyptic number.

22523313250640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22523313250640 is an abundant number, since it is smaller than the sum of its proper divisors (32391227239360).

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

22523313250640 is a wasteful number, since it uses less digits than its factorization.

22523313250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132990864 (or 132990858 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 22523313250640 in words is "twenty-two trillion, five hundred twenty-three billion, three hundred thirteen million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 232 290 292 365 464 580 584 730 1160 1168 1460 2117 2320 2920 4234 5840 8468 10585 16936 21170 33872 42340 84680 169360 132990749 265981498 531962996 664953745 1063925992 1329907490 2127851984 2659814980 3856731721 5319629960 7713463442 9708324677 10639259920 15426926884 19283658605 19416649354 30853853768 38567317210 38833298708 48541623385 61707707536 77134634420 77666597416 97083246770 154269268840 155333194832 194166493540 281541415633 308538537680 388332987080 563082831266 776665974160 1126165662532 1407707078165 2252331325064 2815414156330 4504662650128 5630828312660 11261656625320 22523313250640