225577216 has 54 divisors (see below), whose sum is σ = 478474850. Its totient is φ = 106119168.

The previous prime is 225577201. The next prime is 225577241. The reversal of 225577216 is 612775522.

It can be written as a sum of positive squares in 3 ways, for example, as 44943616 + 180633600 = 6704^2 + 13440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72460 + ... + 75508.

Almost surely, 2^225577216 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 225577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239237425).

225577216 is an abundant number, since it is smaller than the sum of its proper divisors (252897634).

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

225577216 is an equidigital number, since it uses as much as digits as its factorization.

225577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3068 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 225577216 is about 15019.2282091990. The cubic root of 225577216 is about 608.7398656935.

The spelling of 225577216 in words is "two hundred twenty-five million, five hundred seventy-seven thousand, two hundred sixteen".