225319224 has 128 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 62380032.

The previous prime is 225319219. The next prime is 225319249. The reversal of 225319224 is 422913522.

225319224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225319191 and 225319200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121069 + ... + 122915.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^225319224 is an apocalyptic number.

225319224 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 225319224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

225319224 is an abundant number, since it is smaller than the sum of its proper divisors (445283016).

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

225319224 is a wasteful number, since it uses less digits than its factorization.

225319224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1905 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 225319224 is about 15010.6370284542. The cubic root of 225319224 is about 608.5077058314.

The spelling of 225319224 in words is "two hundred twenty-five million, three hundred nineteen thousand, two hundred twenty-four".