225669440 has 56 divisors (see below), whose sum is σ = 541096200. Its totient is φ = 89643008.

The previous prime is 225669427. The next prime is 225669463. The reversal of 225669440 is 44966522.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 224520256 = 1072^2 + 14984^2 .

It is a super-2 number, since 2×225669440² = 101853392299827200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225669394 and 225669403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45314 + ... + 50046.

Almost surely, 2^225669440 is an apocalyptic number.

225669440 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 225669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270548100).

225669440 is an abundant number, since it is smaller than the sum of its proper divisors (315426760).

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

225669440 is a wasteful number, since it uses less digits than its factorization.

225669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 225669440 is about 15022.2980931680. The cubic root of 225669440 is about 608.8228125699.

The spelling of 225669440 in words is "two hundred twenty-five million, six hundred sixty-nine thousand, four hundred forty".