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225703656 = 23323134773
BaseRepresentation
bin11010111001111…
…11011011101000
3120201200221012200
431130333123220
5430240004111
634221340200
75410310103
oct1534773350
9521627180
10225703656
11106449552
1263707660
13379b6879
1421d9373a
1514c35256
hexd73f6e8

225703656 has 24 divisors (see below), whose sum is σ = 611280930. Its totient is φ = 75234528.

The previous prime is 225703651. The next prime is 225703661. The reversal of 225703656 is 656307522.

It is a happy number.

225703656 is a `hidden beast` number, since 2 + 2 + 570 + 36 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (225703651) and next prime (225703661).

It can be written as a sum of positive squares in only one way, i.e., 224100900 + 1602756 = 14970^2 + 1266^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 225703656.

It is not an unprimeable number, because it can be changed into a prime (225703651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1567315 + ... + 1567458.

Almost surely, 2225703656 is an apocalyptic number.

It is an amenable number.

225703656 is an abundant number, since it is smaller than the sum of its proper divisors (385577274).

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

225703656 is a wasteful number, since it uses less digits than its factorization.

225703656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134785 (or 3134778 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 225703656 is about 15023.4368904056. The cubic root of 225703656 is about 608.8535809194.

The spelling of 225703656 in words is "two hundred twenty-five million, seven hundred three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3134773 6269546 9404319 12539092 18808638 25078184 28212957 37617276 56425914 75234552 112851828 225703656