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22197510225 = 32521161914489
BaseRepresentation
bin10100101011000100…
…110010000001010001
32010021222112100120100
4110223010302001101
5330430030311400
614110345403013
71414034503152
oct245304620121
963258470510
1022197510225
119460a08a80
124375a99469
132129a46c47
1411080b5929
1589db45100
hex52b132051

22197510225 has 72 divisors (see below), whose sum is σ = 43445656800. Its totient is φ = 10744300800.

The previous prime is 22197510173. The next prime is 22197510239. The reversal of 22197510225 is 52201579122.

It is a de Polignac number, because none of the positive numbers 2k-22197510225 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 22197510225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1524781 + ... + 1539269.

It is an arithmetic number, because the mean of its divisors is an integer number (603411900).

Almost surely, 222197510225 is an apocalyptic number.

22197510225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22197510225 is a deficient number, since it is larger than the sum of its proper divisors (21248146575).

22197510225 is a wasteful number, since it uses less digits than its factorization.

22197510225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135 (or 15127 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 22197510225 in words is "twenty-two billion, one hundred ninety-seven million, five hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 619 825 1857 2475 3095 5571 6809 9285 14489 15475 20427 27855 34045 43467 46425 61281 72445 102135 130401 139275 159379 170225 217335 306405 362225 478137 510675 652005 796895 1086675 1434411 1532025 2390685 3260025 3984475 7172055 8968691 11953425 26906073 35860275 44843455 80718219 98655601 134530365 224217275 295966803 403591095 493278005 672651825 887900409 1479834015 2017955475 2466390025 4439502045 7399170075 22197510225