225776320 has 336 divisors, whose sum is σ = 729691200. Its totient is φ = 66232320.

The previous prime is 225776293. The next prime is 225776347. The reversal of 225776320 is 23677522.

It is an interprime number because it is at equal distance from previous prime (225776293) and next prime (225776347).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13280952 + ... + 13280968.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2^225776320 is an apocalyptic number.

225776320 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 225776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364845600).

225776320 is an abundant number, since it is smaller than the sum of its proper divisors (503914880).

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

225776320 is a wasteful number, since it uses less digits than its factorization.

225776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 225776320 is about 15025.8550505454. The cubic root of 225776320 is about 608.9189128838.

The spelling of 225776320 in words is "two hundred twenty-five million, seven hundred seventy-six thousand, three hundred twenty".