225225540 has 144 divisors (see below), whose sum is σ = 712298496. Its totient is φ = 57542400.

The previous prime is 225225523. The next prime is 225225589. The reversal of 225225540 is 45522522.

225225540 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 47 ways as a sum of consecutive naturals, for example, 1009869 + ... + 1010091.

Almost surely, 2^225225540 is an apocalyptic number.

225225540 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 225225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356149248).

225225540 is an abundant number, since it is smaller than the sum of its proper divisors (487072956).

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

225225540 is a wasteful number, since it uses less digits than its factorization.

225225540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 225225540 is about 15007.5161169329. The cubic root of 225225540 is about 608.4233583330.

The spelling of 225225540 in words is "two hundred twenty-five million, two hundred twenty-five thousand, five hundred forty".