225342304 has 48 divisors (see below), whose sum is σ = 489479760. Its totient is φ = 101263360.

The previous prime is 225342301. The next prime is 225342311. The reversal of 225342304 is 403243522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225342301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27732 + ... + 34924.

It is an arithmetic number, because the mean of its divisors is an integer number (10197495).

Almost surely, 2^225342304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244739880).

225342304 is an abundant number, since it is smaller than the sum of its proper divisors (264137456).

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

225342304 is a wasteful number, since it uses less digits than its factorization.

225342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 225342304 is about 15011.4057969265. The cubic root of 225342304 is about 608.5284821003.

Adding to 225342304 its reverse (403243522), we get a palindrome (628585826).

The spelling of 225342304 in words is "two hundred twenty-five million, three hundred forty-two thousand, three hundred four".