225313704 has 512 divisors, whose sum is σ = 884736000. Its totient is φ = 51321600.

The previous prime is 225313703. The next prime is 225313717. The reversal of 225313704 is 407313522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225313703) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7268169 + ... + 7268199.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 2^225313704 is an apocalyptic number.

225313704 is a gapful number since it is divisible by the number (24) 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 225313704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368000).

225313704 is an abundant number, since it is smaller than the sum of its proper divisors (659422296).

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

225313704 is a wasteful number, since it uses less digits than its factorization.

225313704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225313704 is about 15010.4531577165. The cubic root of 225313704 is about 608.5027366002.

The spelling of 225313704 in words is "two hundred twenty-five million, three hundred thirteen thousand, seven hundred four".