225320000 has 140 divisors (see below), whose sum is σ = 576078096. Its totient is φ = 87360000.

The previous prime is 225319999. The next prime is 225320003. The reversal of 225320000 is 23522.

It is not an unprimeable number, because it can be changed into a prime (225320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1719935 + ... + 1720065.

Almost surely, 2^225320000 is an apocalyptic number.

225320000 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 225320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288039048).

225320000 is an abundant number, since it is smaller than the sum of its proper divisors (350758096).

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

225320000 is an equidigital number, since it uses as much as digits as its factorization.

225320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 225320000 is about 15010.6628767686. The cubic root of 225320000 is about 608.5084043980.

Adding to 225320000 its reverse (23522), we get a palindrome (225343522).

The spelling of 225320000 in words is "two hundred twenty-five million, three hundred twenty thousand".