225088 has 14 divisors (see below), whose sum is σ = 446786. Its totient is φ = 112512.

The previous prime is 225079. The next prime is 225089. The reversal of 225088 is 880522.

225088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 2304 = 472^2 + 48^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225089) by changing a digit.

225088 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 as a sum of consecutive naturals, namely, 1695 + ... + 1822.

2²²⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

225088 is a deficient number, since it is larger than the sum of its proper divisors (221698).

225088 is an equidigital number, since it uses as much as digits as its factorization.

225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 225088 is about 474.4344001018. The cubic root of 225088 is about 60.8299483115.

It can be divided in two parts, 2 and 25088, that multiplied together give a square (50176 = 224²).

The spelling of 225088 in words is "two hundred twenty-five thousand, eighty-eight".