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225651564 = 22326268099
BaseRepresentation
bin11010111001100…
…10101101101100
3120201121021202100
431130302231230
5430231322224
634220255100
75410002165
oct1534625554
9521537670
10225651564
111064133a6
12636a1490
1337998c48
1421d7c76c
1514c24ac9
hexd732b6c

225651564 has 18 divisors (see below), whose sum is σ = 570397100. Its totient is φ = 75217176.

The previous prime is 225651563. The next prime is 225651593. The reversal of 225651564 is 465156522.

225651564 is a `hidden beast` number, since 22 + 565 + 15 + 64 = 666.

225651564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6268099 = 225651564 / (2 + 2 + 5 + 6 + 5 + 1 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (225651563) 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, 3134014 + ... + 3134085.

Almost surely, 2225651564 is an apocalyptic number.

It is an amenable number.

225651564 is an abundant number, since it is smaller than the sum of its proper divisors (344745536).

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

225651564 is a wasteful number, since it uses less digits than its factorization.

225651564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268109 (or 6268104 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 225651564 is about 15021.7030991829. The cubic root of 225651564 is about 608.8067365430.

The spelling of 225651564 in words is "two hundred twenty-five million, six hundred fifty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6268099 12536198 18804297 25072396 37608594 56412891 75217188 112825782 225651564