225347220 has 144 divisors (see below), whose sum is σ = 822407040. Its totient is φ = 48791808.

The previous prime is 225347209. The next prime is 225347251. The reversal of 225347220 is 22743522.

225347220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19234 + ... + 28646.

It is an arithmetic number, because the mean of its divisors is an integer number (5711160).

Almost surely, 2^225347220 is an apocalyptic number.

225347220 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 225347220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411203520).

225347220 is an abundant number, since it is smaller than the sum of its proper divisors (597059820).

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

225347220 is a wasteful number, since it uses less digits than its factorization.

225347220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9454 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 225347220 is about 15011.5695381929. The cubic root of 225347220 is about 608.5329072263.

The spelling of 225347220 in words is "two hundred twenty-five million, three hundred forty-seven thousand, two hundred twenty".