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22005079425 = 3252719735341
BaseRepresentation
bin10100011111100110…
…101101110110000001
32002210120102212010200
4110133212231312001
5330031300020200
614035313115413
71406210042340
oct243746556601
962716385120
1022005079425
11937232595a
124321558b69
1320c8c0cc74
1410ca703b57
1588bcd3800
hex51f9add81

22005079425 has 72 divisors (see below), whose sum is σ = 47414852160. Its totient is φ = 9530006400.

The previous prime is 22005079403. The next prime is 22005079517. The reversal of 22005079425 is 52497050022.

It is a happy number.

22005079425 is a `hidden beast` number, since 220 + 0 + 5 + 0 + 7 + 9 + 425 = 666.

It is not a de Polignac number, because 22005079425 - 217 = 22004948353 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22005079425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 337746 + ... + 397595.

Almost surely, 222005079425 is an apocalyptic number.

22005079425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22005079425 is an abundant number, since it is smaller than the sum of its proper divisors (25409772735).

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

22005079425 is a wasteful number, since it uses less digits than its factorization.

22005079425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735383 (or 735375 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 22005079425 in words is "twenty-two billion, five million, seventy-nine thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 5985 9975 29925 735341 2206023 3676705 5147387 6618069 11030115 13971479 15442161 18383525 25736935 33090345 41914437 46326483 55150575 69857395 77210805 97800353 125743311 128684675 165451725 209572185 231632415 293401059 349286975 386054025 489001765 628716555 880203177 1047860925 1158162075 1467005295 2445008825 3143582775 4401015885 7335026475 22005079425