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504162225 = 3452725081
BaseRepresentation
bin11110000011001…
…110011110110001
31022010200002120000
4132003032132301
52013031142400
6122005540213
715331210500
oct3603163661
91263602500
10504162225
1123964a5a6
12120a14669
13805b1758
144ad5a837
152e3db600
hex1e0ce7b1

504162225 has 90 divisors (see below), whose sum is σ = 1086567174. Its totient is φ = 230428800.

The previous prime is 504162223. The next prime is 504162227. The reversal of 504162225 is 522261405.

It is an interprime number because it is at equal distance from previous prime (504162223) and next prime (504162227).

It can be written as a sum of positive squares in 3 ways, for example, as 1147041 + 503015184 = 1071^2 + 22428^2 .

It is not a de Polignac number, because 504162225 - 21 = 504162223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (504162223) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 96685 + ... + 101765.

Almost surely, 2504162225 is an apocalyptic number.

It is an amenable number.

504162225 is an abundant number, since it is smaller than the sum of its proper divisors (582404949).

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

504162225 is a wasteful number, since it uses less digits than its factorization.

504162225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 504162225 is about 22453.5570678679. The cubic root of 504162225 is about 795.8968163559.

The spelling of 504162225 in words is "five hundred four million, one hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 5081 6615 11025 14175 15243 19845 25405 33075 35567 45729 76215 99225 106701 127025 137187 177835 228645 248969 320103 381075 411561 533505 685935 746907 889175 960309 1143225 1244845 1600515 2057805 2240721 2667525 2880927 3429675 3734535 4801545 6224225 6722163 8002575 10289025 11203605 14404635 18672675 20166489 24007725 33610815 56018025 72023175 100832445 168054075 504162225