225220000 has 60 divisors (see below), whose sum is σ = 554124186. Its totient is φ = 90080000.

The previous prime is 225219997. The next prime is 225220027. The reversal of 225220000 is 22522.

It can be written as a sum of positive squares in 5 ways, for example, as 43401744 + 181818256 = 6588^2 + 13484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14370 + ... + 25630.

Almost surely, 2^225220000 is an apocalyptic number.

225220000 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 225220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277062093).

225220000 is an abundant number, since it is smaller than the sum of its proper divisors (328904186).

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

225220000 is an equidigital number, since it uses as much as digits as its factorization.

225220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 225220000 is about 15007.3315416166. The cubic root of 225220000 is about 608.4183697143.

Adding to 225220000 its reverse (22522), we get a palindrome (225242522).

Multiplying 225220000 by its reverse (22522), we get a square (5072404840000 = 2252200²).

225220000 divided by its reverse (22522) gives a 4-th power (10000 = 10⁴).

The spelling of 225220000 in words is "two hundred twenty-five million, two hundred twenty thousand".