225516 has 12 divisors (see below), whose sum is σ = 526232. Its totient is φ = 75168.

The previous prime is 225509. The next prime is 225523. The reversal of 225516 is 615522.

It is an interprime number because it is at equal distance from previous prime (225509) and next prime (225523).

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 225492 and 225501.

It is an unprimeable number.

225516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9385 + ... + 9408.

2²²⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

225516 is an abundant number, since it is smaller than the sum of its proper divisors (300716).

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

225516 is a wasteful number, since it uses less digits than its factorization.

225516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18800 (or 18798 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 225516 is about 474.8852492971. The cubic root of 225516 is about 60.8684795133.

It can be divided in two parts, 225 and 516, that added together give a triangular number (741 = T₃₈).

The spelling of 225516 in words is "two hundred twenty-five thousand, five hundred sixteen".