225220 has 12 divisors (see below), whose sum is σ = 473004. Its totient is φ = 90080.

The previous prime is 225217. The next prime is 225221. The reversal of 225220 is 22522.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 53824 = 414^2 + 232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225220.

It is not an unprimeable number, because it can be changed into a prime (225221) 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 3 ways as a sum of consecutive naturals, for example, 5611 + ... + 5650.

It is an arithmetic number, because the mean of its divisors is an integer number (39417).

2²²⁵²²⁰ is an apocalyptic number.

225220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225220 is an abundant number, since it is smaller than the sum of its proper divisors (247784).

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

225220 is a wasteful number, since it uses less digits than its factorization.

225220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11268 counting only the distinct ones).

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

The square root of 225220 is about 474.5734927279. The cubic root of 225220 is about 60.8418369714.

Adding to 225220 its reverse (22522), we get a palindrome (247742).

The spelling of 225220 in words is "two hundred twenty-five thousand, two hundred twenty".