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225575595 = 3257811883
BaseRepresentation
bin11010111001000…
…00001010101011
3120201110102112200
431130200022223
5430221404340
634214511243
75406234540
oct1534401253
9521412480
10225575595
11106371313
1263665523
13379704ab
1421d5cbc7
1514c0c330
hexd7202ab

225575595 has 48 divisors (see below), whose sum is σ = 447912192. Its totient is φ = 102876480.

The previous prime is 225575593. The next prime is 225575629. The reversal of 225575595 is 595575522.

It is a happy number.

225575595 is a `hidden beast` number, since 2 + 2 + 5 + 57 + 5 + 595 = 666.

It is not a de Polignac number, because 225575595 - 21 = 225575593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225575595.

It is not an unprimeable number, because it can be changed into a prime (225575593) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 255024 + ... + 255906.

It is an arithmetic number, because the mean of its divisors is an integer number (9331504).

Almost surely, 2225575595 is an apocalyptic number.

225575595 is a deficient number, since it is larger than the sum of its proper divisors (222336597).

225575595 is a wasteful number, since it uses less digits than its factorization.

225575595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1709 counting only the distinct ones).

The product of its digits is 787500, while the sum is 45.

The square root of 225575595 is about 15019.1742449444. The cubic root of 225575595 is about 608.7384075532.

The spelling of 225575595 in words is "two hundred twenty-five million, five hundred seventy-five thousand, five hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 811 883 2433 2649 4055 4415 5677 6181 7299 7947 12165 13245 17031 18543 28385 30905 36495 39735 51093 55629 85155 92715 255465 278145 716113 2148339 3580565 5012791 6445017 10741695 15038373 25063955 32225085 45115119 75191865 225575595