225613566 has 32 divisors (see below), whose sum is σ = 506062080. Its totient is φ = 74499768.

The previous prime is 225613559. The next prime is 225613603. The reversal of 225613566 is 665316522.

It is a happy number.

225613566 is a `hidden beast` number, since 2 + 2 + 561 + 35 + 66 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225613566.

It is a congruent number.

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, 13746 + ... + 25301.

It is an arithmetic number, because the mean of its divisors is an integer number (15814440).

Almost surely, 2^225613566 is an apocalyptic number.

225613566 is an abundant number, since it is smaller than the sum of its proper divisors (280448514).

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

225613566 is a wasteful number, since it uses less digits than its factorization.

225613566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39165 (or 39159 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 225613566 is about 15020.4382758959. The cubic root of 225613566 is about 608.7725618230.

The spelling of 225613566 in words is "two hundred twenty-five million, six hundred thirteen thousand, five hundred sixty-six".