225920 has 32 divisors (see below), whose sum is σ = 541620. Its totient is φ = 90112.

The previous prime is 225919. The next prime is 225931. The reversal of 225920 is 29522.

225920 is digitally balanced in base 3, 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 2 ways, for example, as 222784 + 3136 = 472^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225892 and 225901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464 + ... + 816.

2²²⁵⁹²⁰ is an apocalyptic number.

225920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270810).

225920 is an abundant number, since it is smaller than the sum of its proper divisors (315700).

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

225920 is an equidigital number, since it uses as much as digits as its factorization.

225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 225920 is about 475.3104248804. The cubic root of 225920 is about 60.9048053851.

The spelling of 225920 in words is "two hundred twenty-five thousand, nine hundred twenty".