225056 has 24 divisors (see below), whose sum is σ = 478044. Its totient is φ = 103680.

The previous prime is 225037. The next prime is 225061. The reversal of 225056 is 650522.

It is a happy number.

225056 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 13456 = 460^2 + 116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146 + ... + 686.

2²²⁵⁰⁵⁶ is an apocalyptic number.

225056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239022).

225056 is an abundant number, since it is smaller than the sum of its proper divisors (252988).

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

225056 is a wasteful number, since it uses less digits than its factorization.

225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 225056 is about 474.4006745358. The cubic root of 225056 is about 60.8270655122.

Adding to 225056 its reverse (650522), we get a palindrome (875578).

The spelling of 225056 in words is "two hundred twenty-five thousand, fifty-six".