225112320 has 108 divisors (see below), whose sum is σ = 778905036. Its totient is φ = 60026880.

The previous prime is 225112319. The next prime is 225112331. The reversal of 225112320 is 23211522.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 156950784 = 8256^2 + 12528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225112293 and 225112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1750 + ... + 21290.

Almost surely, 2^225112320 is an apocalyptic number.

225112320 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 225112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389452518).

225112320 is an abundant number, since it is smaller than the sum of its proper divisors (553792716).

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

225112320 is a wasteful number, since it uses less digits than its factorization.

225112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19568 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225112320 is about 15003.7435328654. The cubic root of 225112320 is about 608.3213905622.

Adding to 225112320 its reverse (23211522), we get a palindrome (248323842).

The spelling of 225112320 in words is "two hundred twenty-five million, one hundred twelve thousand, three hundred twenty".