225452160 has 160 divisors (see below), whose sum is σ = 805315500. Its totient is φ = 60106752.

The previous prime is 225452159. The next prime is 225452173. The reversal of 225452160 is 61254522.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 32353344 = 13896^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49666 + ... + 54014.

Almost surely, 2^225452160 is an apocalyptic number.

225452160 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 225452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402657750).

225452160 is an abundant number, since it is smaller than the sum of its proper divisors (579863340).

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

225452160 is an equidigital number, since it uses as much as digits as its factorization.

225452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225452160 is about 15015.0644354262. The cubic root of 225452160 is about 608.6273533779.

The spelling of 225452160 in words is "two hundred twenty-five million, four hundred fifty-two thousand, one hundred sixty".