225009440 has 48 divisors (see below), whose sum is σ = 533401848. Its totient is φ = 89696256.

The previous prime is 225009413. The next prime is 225009443. The reversal of 225009440 is 44900522.

225009440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181818256 + 43191184 = 13484^2 + 6572^2 .

It is a super-2 number, since 2×225009440² = 101258496178227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225009443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47834 + ... + 52326.

Almost surely, 2^225009440 is an apocalyptic number.

225009440 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 225009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266700924).

225009440 is an abundant number, since it is smaller than the sum of its proper divisors (308392408).

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

225009440 is a wasteful number, since it uses less digits than its factorization.

225009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 225009440 is about 15000.3146633662. The cubic root of 225009440 is about 608.2287055105.

Adding to 225009440 its reverse (44900522), we get a palindrome (269909962).

The spelling of 225009440 in words is "two hundred twenty-five million, nine thousand, four hundred forty".