225306004 has 48 divisors (see below), whose sum is σ = 498548736. Its totient is φ = 86536800.

The previous prime is 225305963. The next prime is 225306013. The reversal of 225306004 is 400603522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16717 + ... + 27019.

It is an arithmetic number, because the mean of its divisors is an integer number (10386432).

Almost surely, 2^225306004 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 225306004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249274368).

225306004 is an abundant number, since it is smaller than the sum of its proper divisors (273242732).

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

225306004 is a wasteful number, since it uses less digits than its factorization.

225306004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 225306004 is about 15010.1966675990. The cubic root of 225306004 is about 608.4958047472.

Adding to 225306004 its reverse (400603522), we get a palindrome (625909526).

The spelling of 225306004 in words is "two hundred twenty-five million, three hundred six thousand, four".