225816 has 24 divisors (see below), whose sum is σ = 570420. Its totient is φ = 74496.

The previous prime is 225809. The next prime is 225821. The reversal of 225816 is 618522.

225816 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

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, 2280 + ... + 2376.

2²²⁵⁸¹⁶ is an apocalyptic number.

It is an amenable number.

225816 is an abundant number, since it is smaller than the sum of its proper divisors (344604).

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

225816 is an equidigital number, since it uses as much as digits as its factorization.

225816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 102 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 225816 is about 475.2010100999. The cubic root of 225816 is about 60.8954583125.

Multiplying 225816 by its sum of digits (24), we get a square (5419584 = 2328²).

225816 divided by its sum of digits (24) gives a square (9409 = 97²).

The spelling of 225816 in words is "two hundred twenty-five thousand, eight hundred sixteen".