225512320 has 128 divisors (see below), whose sum is σ = 595745280. Its totient is φ = 80947200.

The previous prime is 225512269. The next prime is 225512333. The reversal of 225512320 is 23215522.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 225512291 and 225512300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724965 + ... + 725275.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2^225512320 is an apocalyptic number.

225512320 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 225512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

225512320 is an abundant number, since it is smaller than the sum of its proper divisors (370232960).

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

225512320 is a wasteful number, since it uses less digits than its factorization.

225512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 225512320 is about 15017.0676232079. The cubic root of 225512320 is about 608.6814842488.

Adding to 225512320 its reverse (23215522), we get a palindrome (248727842).

The spelling of 225512320 in words is "two hundred twenty-five million, five hundred twelve thousand, three hundred twenty".