225504300 has 144 divisors (see below), whose sum is σ = 756396032. Its totient is φ = 50803200.

The previous prime is 225504299. The next prime is 225504359. The reversal of 225504300 is 3405522.

225504300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152565 + ... + 154035.

Almost surely, 2^225504300 is an apocalyptic number.

225504300 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 225504300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378198016).

225504300 is an abundant number, since it is smaller than the sum of its proper divisors (530891732).

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

225504300 is a wasteful number, since it uses less digits than its factorization.

225504300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 225504300 is about 15016.8005913377. The cubic root of 225504300 is about 608.6742685552.

Adding to 225504300 its reverse (3405522), we get a palindrome (228909822).

The spelling of 225504300 in words is "two hundred twenty-five million, five hundred four thousand, three hundred".