225224220 has 96 divisors (see below), whose sum is σ = 683020800. Its totient is φ = 55123200.

The previous prime is 225224191. The next prime is 225224221. The reversal of 225224220 is 22422522.

225224220 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

225224220 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225224221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154495 + ... + 155945.

It is an arithmetic number, because the mean of its divisors is an integer number (7114800).

Almost surely, 2^225224220 is an apocalyptic number.

225224220 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 225224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341510400).

225224220 is an abundant number, since it is smaller than the sum of its proper divisors (457796580).

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

225224220 is a wasteful number, since it uses less digits than its factorization.

225224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 225224220 is about 15007.4721389047. The cubic root of 225224220 is about 608.4221697165.

Adding to 225224220 its reverse (22422522), we get a palindrome (247646742).

The spelling of 225224220 in words is "two hundred twenty-five million, two hundred twenty-four thousand, two hundred twenty".