225611320 has 64 divisors (see below), whose sum is σ = 582940800. Its totient is φ = 77719680.

The previous prime is 225611299. The next prime is 225611333. The reversal of 225611320 is 23116522.

225611320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 225611291 and 225611300.

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, 5134 + ... + 21853.

It is an arithmetic number, because the mean of its divisors is an integer number (9108450).

Almost surely, 2^225611320 is an apocalyptic number.

225611320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225611320 is an abundant number, since it is smaller than the sum of its proper divisors (357329480).

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

225611320 is a wasteful number, since it uses less digits than its factorization.

225611320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27028 (or 27024 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 225611320 is about 15020.3635109141. The cubic root of 225611320 is about 608.7705416908.

Adding to 225611320 its reverse (23116522), we get a palindrome (248727842).

The spelling of 225611320 in words is "two hundred twenty-five million, six hundred eleven thousand, three hundred twenty".