225919320 has 128 divisors (see below), whose sum is σ = 763361280. Its totient is φ = 52992000.

The previous prime is 225919303. The next prime is 225919339. The reversal of 225919320 is 23919522.

225919320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 38160 + ... + 43680.

It is an arithmetic number, because the mean of its divisors is an integer number (5963760).

Almost surely, 2^225919320 is an apocalyptic number.

225919320 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 225919320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381680640).

225919320 is an abundant number, since it is smaller than the sum of its proper divisors (537441960).

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

225919320 is a wasteful number, since it uses less digits than its factorization.

225919320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 225919320 is about 15030.6127619602. The cubic root of 225919320 is about 609.0474427895.

The spelling of 225919320 in words is "two hundred twenty-five million, nine hundred nineteen thousand, three hundred twenty".