225259020 has 288 divisors, whose sum is σ = 827473920. Its totient is φ = 48522240.

The previous prime is 225258977. The next prime is 225259049. The reversal of 225259020 is 20952522.

225259020 is a `hidden beast` number, since 2 + 2 + 52 + 590 + 20 = 666.

225259020 is digitally balanced in base 2, because in such base 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 95 ways as a sum of consecutive naturals, for example, 2851341 + ... + 2851419.

Almost surely, 2^225259020 is an apocalyptic number.

225259020 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 225259020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413736960).

225259020 is an abundant number, since it is smaller than the sum of its proper divisors (602214900).

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

225259020 is a wasteful number, since it uses less digits than its factorization.

225259020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225259020 is about 15008.6315165641. The cubic root of 225259020 is about 608.4535044180.

The spelling of 225259020 in words is "two hundred twenty-five million, two hundred fifty-nine thousand, twenty".