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225861156 = 22332717717
BaseRepresentation
bin11010111011001…
…01111000100100
3120201222221021000
431131211320210
5430310024111
634224553300
75411534223
oct1535457044
9521887230
10225861156
11106546914
1263782830
1337a40471
1421dd4cba
1514c66c56
hexd765e24

225861156 has 48 divisors (see below), whose sum is σ = 587802880. Its totient is φ = 74999520.

The previous prime is 225861137. The next prime is 225861187. The reversal of 225861156 is 651168522.

225861156 is a `hidden beast` number, since 22 + 586 + 1 + 1 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225861156.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25410 + ... + 33126.

Almost surely, 2225861156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225861156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293901440).

225861156 is an abundant number, since it is smaller than the sum of its proper divisors (361941724).

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

225861156 is a wasteful number, since it uses less digits than its factorization.

225861156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7993 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 225861156 is about 15028.6777861527. The cubic root of 225861156 is about 608.9951709195.

The spelling of 225861156 in words is "two hundred twenty-five million, eight hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1626 2439 3252 4878 7317 7717 9756 14634 15434 23151 29268 30868 46302 69453 92604 138906 208359 277812 416718 833436 2091307 4182614 6273921 8365228 12547842 18821763 25095684 37643526 56465289 75287052 112930578 225861156