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225156435165 = 3255003476337
BaseRepresentation
bin1101000110110001011…
…1101000110011011101
3210112011112120000000100
43101230113220303131
512142110021411130
6251234015451313
722160405056404
oct3215427506335
9715145500010
10225156435165
1187540a35292
1237778526b39
131830309867c
14ac7d14a63b
155ccbc47c60
hex346c5e8cdd

225156435165 has 12 divisors (see below), whose sum is σ = 390271154364. Its totient is φ = 120083432064.

The previous prime is 225156435151. The next prime is 225156435193. The reversal of 225156435165 is 561534651522.

225156435165 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 56 + 435 + 165 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75835245924 + 149321189241 = 275382^2 + 386421^2 .

It is not a de Polignac number, because 225156435165 - 29 = 225156434653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5003476337 = 225156435165 / (2 + 2 + 5 + 1 + 5 + 6 + 4 + 3 + 5 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 225156435165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2501738124 + ... + 2501738213.

It is an arithmetic number, because the mean of its divisors is an integer number (32522596197).

Almost surely, 2225156435165 is an apocalyptic number.

It is an amenable number.

225156435165 is a deficient number, since it is larger than the sum of its proper divisors (165114719199).

225156435165 is a wasteful number, since it uses less digits than its factorization.

225156435165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003476348 (or 5003476345 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 225156435165 in words is "two hundred twenty-five billion, one hundred fifty-six million, four hundred thirty-five thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 5003476337 15010429011 25017381685 45031287033 75052145055 225156435165