225334440 has 128 divisors (see below), whose sum is σ = 771552000. Its totient is φ = 58454784.

The previous prime is 225334423. The next prime is 225334441. The reversal of 225334440 is 44433522.

225334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225334440² = 101551219700227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225334441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37141 + ... + 42779.

It is an arithmetic number, because the mean of its divisors is an integer number (6027750).

Almost surely, 2^225334440 is an apocalyptic number.

225334440 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 225334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385776000).

225334440 is an abundant number, since it is smaller than the sum of its proper divisors (546217560).

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

225334440 is a wasteful number, since it uses less digits than its factorization.

225334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 225334440 is about 15011.1438604791. The cubic root of 225334440 is about 608.5214032051.

Adding to 225334440 its reverse (44433522), we get a palindrome (269767962).

The spelling of 225334440 in words is "two hundred twenty-five million, three hundred thirty-four thousand, four hundred forty".