225434440 has 128 divisors (see below), whose sum is σ = 644785920. Its totient is φ = 68889600.

The previous prime is 225434437. The next prime is 225434453. The reversal of 225434440 is 44434522.

It is a super-2 number, since 2×225434440² = 101641373476227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 225434399 and 225434408.

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 31 ways as a sum of consecutive naturals, for example, 162550 + ... + 163930.

It is an arithmetic number, because the mean of its divisors is an integer number (5037390).

Almost surely, 2^225434440 is an apocalyptic number.

225434440 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 225434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322392960).

225434440 is an abundant number, since it is smaller than the sum of its proper divisors (419351480).

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

225434440 is a wasteful number, since it uses less digits than its factorization.

225434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 225434440 is about 15014.4743497733. The cubic root of 225434440 is about 608.6114074092.

Adding to 225434440 its reverse (44434522), we get a palindrome (269868962).

The spelling of 225434440 in words is "two hundred twenty-five million, four hundred thirty-four thousand, four hundred forty".