225718320 has 160 divisors (see below), whose sum is σ = 739095552. Its totient is φ = 56871936.

The previous prime is 225718303. The next prime is 225718327. The reversal of 225718320 is 23817522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225718327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568362 + ... + 568758.

Almost surely, 2^225718320 is an apocalyptic number.

225718320 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 225718320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369547776).

225718320 is an abundant number, since it is smaller than the sum of its proper divisors (513377232).

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

225718320 is a wasteful number, since it uses less digits than its factorization.

225718320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 225718320 is about 15023.9249199402. The cubic root of 225718320 is about 608.8667664030.

The spelling of 225718320 in words is "two hundred twenty-five million, seven hundred eighteen thousand, three hundred twenty".