225144200 has 36 divisors (see below), whose sum is σ = 523954095. Its totient is φ = 89972800.

The previous prime is 225144163. The next prime is 225144221. The reversal of 225144200 is 2441522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225144200 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 5 ways, for example, as 116942596 + 108201604 = 10814^2 + 10402^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10610.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211670 + ... + 212730.

Almost surely, 2^225144200 is an apocalyptic number.

225144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225144200 is an abundant number, since it is smaller than the sum of its proper divisors (298809895).

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

225144200 is an equidigital number, since it uses as much as digits as its factorization.

225144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 225144200 is about 15004.8058967785. The cubic root of 225144200 is about 608.3501056655.

Adding to 225144200 its reverse (2441522), we get a palindrome (227585722).

The spelling of 225144200 in words is "two hundred twenty-five million, one hundred forty-four thousand, two hundred".