225690 has 16 divisors (see below), whose sum is σ = 541728. Its totient is φ = 60176.

The previous prime is 225689. The next prime is 225697. The reversal of 225690 is 96522.

225690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225690² = 101871952200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225690.

It is not an unprimeable number, because it can be changed into a prime (225697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3732 + ... + 3791.

It is an arithmetic number, because the mean of its divisors is an integer number (33858).

2²²⁵⁶⁹⁰ is an apocalyptic number.

225690 is an abundant number, since it is smaller than the sum of its proper divisors (316038).

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

225690 is a wasteful number, since it uses less digits than its factorization.

225690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 225690 is about 475.0684161255. The cubic root of 225690 is about 60.8841301289.

It can be divided in two parts, 2256 and 90, that added together give a triangular number (2346 = T₆₈).

The spelling of 225690 in words is "two hundred twenty-five thousand, six hundred ninety".