225326320 has 80 divisors (see below), whose sum is σ = 562062240. Its totient is φ = 83745792.

The previous prime is 225326287. The next prime is 225326351. The reversal of 225326320 is 23623522.

It is a tau number, because it is divible by the number of its divisors (80).

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, 79162 + ... + 81958.

It is an arithmetic number, because the mean of its divisors is an integer number (7025778).

Almost surely, 2^225326320 is an apocalyptic number.

225326320 is a gapful number since it is divisible by the number (20) 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 225326320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281031120).

225326320 is an abundant number, since it is smaller than the sum of its proper divisors (336735920).

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

225326320 is a wasteful number, since it uses less digits than its factorization.

225326320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 225326320 is about 15010.8733923113. The cubic root of 225326320 is about 608.5140936949.

Adding to 225326320 its reverse (23623522), we get a palindrome (248949842).

The spelling of 225326320 in words is "two hundred twenty-five million, three hundred twenty-six thousand, three hundred twenty".