225588 has 24 divisors (see below), whose sum is σ = 574560. Its totient is φ = 68320.

The previous prime is 225583. The next prime is 225601. The reversal of 225588 is 885522.

225588 = T₁₉₇ + T₁₉₈ + ... + T₂₀₇.

225588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225588.

It is not an unprimeable number, because it can be changed into a prime (225581) by changing a digit.

225588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2²²⁵⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

225588 is an abundant number, since it is smaller than the sum of its proper divisors (348972).

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

225588 is a wasteful number, since it uses less digits than its factorization.

225588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1725 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 225588 is about 474.9610510347. The cubic root of 225588 is about 60.8749566062.

The spelling of 225588 in words is "two hundred twenty-five thousand, five hundred eighty-eight".