225596664 has 80 divisors (see below), whose sum is σ = 669081600. Its totient is φ = 70771968.

The previous prime is 225596617. The next prime is 225596669. The reversal of 225596664 is 466695522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225596669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 777 + ... + 21255.

It is an arithmetic number, because the mean of its divisors is an integer number (8363520).

Almost surely, 2^225596664 is an apocalyptic number.

225596664 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 225596664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334540800).

225596664 is an abundant number, since it is smaller than the sum of its proper divisors (443484936).

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

225596664 is a wasteful number, since it uses less digits than its factorization.

225596664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 20501 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 225596664 is about 15019.8756319751. The cubic root of 225596664 is about 608.7573592343.

The spelling of 225596664 in words is "two hundred twenty-five million, five hundred ninety-six thousand, six hundred sixty-four".