225107440 has 160 divisors (see below), whose sum is σ = 591390720. Its totient is φ = 79276032.

The previous prime is 225107431. The next prime is 225107447. The reversal of 225107440 is 44701522.

225107440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225107447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1643052 + ... + 1643188.

It is an arithmetic number, because the mean of its divisors is an integer number (3696192).

Almost surely, 2^225107440 is an apocalyptic number.

225107440 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 225107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295695360).

225107440 is an abundant number, since it is smaller than the sum of its proper divisors (366283280).

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

225107440 is a wasteful number, since it uses less digits than its factorization.

225107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 225107440 is about 15003.5809059038. The cubic root of 225107440 is about 608.3169947865.

Adding to 225107440 its reverse (44701522), we get a palindrome (269808962).

The spelling of 225107440 in words is "two hundred twenty-five million, one hundred seven thousand, four hundred forty".