225556864 has 48 divisors (see below), whose sum is σ = 486622620. Its totient is φ = 104093184.

The previous prime is 225556853. The next prime is 225556871. The reversal of 225556864 is 468655522.

It is a self number, because there is not a number n which added to its sum of digits gives 225556864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16419 + ... + 26845.

Almost surely, 2^225556864 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 225556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243311310).

225556864 is an abundant number, since it is smaller than the sum of its proper divisors (261065756).

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

225556864 is a wasteful number, since it uses less digits than its factorization.

225556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10442 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The square root of 225556864 is about 15018.5506624308. The cubic root of 225556864 is about 608.7215579250.

The spelling of 225556864 in words is "two hundred twenty-five million, five hundred fifty-six thousand, eight hundred sixty-four".