225300304 has 40 divisors (see below), whose sum is σ = 455673960. Its totient is φ = 107778048.

The previous prime is 225300301. The next prime is 225300307. The reversal of 225300304 is 403003522.

It is an interprime number because it is at equal distance from previous prime (225300301) and next prime (225300307).

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 223203600 = 1448^2 + 14940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225300301) 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, 50284 + ... + 54580.

It is an arithmetic number, because the mean of its divisors is an integer number (11391849).

Almost surely, 2^225300304 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 225300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227836980).

225300304 is an abundant number, since it is smaller than the sum of its proper divisors (230373656).

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

225300304 is a wasteful number, since it uses less digits than its factorization.

225300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 225300304 is about 15010.0067954681. The cubic root of 225300304 is about 608.4906732737.

Adding to 225300304 its reverse (403003522), we get a palindrome (628303826).

It can be divided in two parts, 225 and 300304, that multiplied together give a square (67568400 = 8220²).

The spelling of 225300304 in words is "two hundred twenty-five million, three hundred thousand, three hundred four".