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225097956 = 223227722573
BaseRepresentation
bin11010110101010…
…11100011100100
3120200120011100100
431122223203210
5430111113311
634200344100
75402205156
oct1532534344
9520504310
10225097956
11106075476
1263475030
1337833c75
1421c76ad6
1514b65a56
hexd6ab8e4

225097956 has 36 divisors (see below), whose sum is σ = 571077052. Its totient is φ = 74758464.

The previous prime is 225097937. The next prime is 225097963. The reversal of 225097956 is 659790522.

225097956 is a `hidden beast` number, since 22 + 509 + 79 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23912100 + 201185856 = 4890^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1315 + ... + 21258.

Almost surely, 2225097956 is an apocalyptic number.

It is an amenable number.

225097956 is an abundant number, since it is smaller than the sum of its proper divisors (345979096).

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

225097956 is a wasteful number, since it uses less digits than its factorization.

225097956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22860 (or 22855 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 225097956 is about 15003.2648446930. The cubic root of 225097956 is about 608.3084516668.

The spelling of 225097956 in words is "two hundred twenty-five million, ninety-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 4986 9972 22573 45146 67719 90292 135438 203157 270876 406314 812628 6252721 12505442 18758163 25010884 37516326 56274489 75032652 112548978 225097956