225074220 has 192 divisors, whose sum is σ = 789626880. Its totient is φ = 46706688.

The previous prime is 225074207. The next prime is 225074303. The reversal of 225074220 is 22470522.

225074220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206517 + ... + 207603.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^225074220 is an apocalyptic number.

225074220 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 225074220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

225074220 is an abundant number, since it is smaller than the sum of its proper divisors (564552660).

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

225074220 is a wasteful number, since it uses less digits than its factorization.

225074220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 225074220 is about 15002.4737960111. The cubic root of 225074220 is about 608.2870693951.

The spelling of 225074220 in words is "two hundred twenty-five million, seventy-four thousand, two hundred twenty".