225403200 has 252 divisors, whose sum is σ = 874580928. Its totient is φ = 54604800.

The previous prime is 225403169. The next prime is 225403229. The reversal of 225403200 is 2304522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157689 + ... + 159111.

Almost surely, 2^225403200 is an apocalyptic number.

225403200 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 225403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437290464).

225403200 is an abundant number, since it is smaller than the sum of its proper divisors (649177728).

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

225403200 is a wasteful number, since it uses less digits than its factorization.

225403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225403200 is about 15013.4339842689. The cubic root of 225403200 is about 608.5832929550.

Adding to 225403200 its reverse (2304522), we get a palindrome (227707722).

The spelling of 225403200 in words is "two hundred twenty-five million, four hundred three thousand, two hundred".