225556440 has 96 divisors (see below), whose sum is σ = 695958480. Its totient is φ = 58480128.

The previous prime is 225556439. The next prime is 225556451. The reversal of 225556440 is 44655522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163594 + ... + 164966.

Almost surely, 2^225556440 is an apocalyptic number.

225556440 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 225556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347979240).

225556440 is an abundant number, since it is smaller than the sum of its proper divisors (470402040).

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

225556440 is a wasteful number, since it uses less digits than its factorization.

225556440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 225556440 is about 15018.5365465481. The cubic root of 225556440 is about 608.7211765014.

The spelling of 225556440 in words is "two hundred twenty-five million, five hundred fifty-six thousand, four hundred forty".