220344400 has 30 divisors (see below), whose sum is σ = 529378382. Its totient is φ = 88137600.

The previous prime is 220344389. The next prime is 220344419. The reversal of 220344400 is 4443022.

220344400 is digitally balanced in base 3, 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 3 ways, for example, as 64 + 220344336 = 8^2 + 14844^2 .

It is a super-2 number, since 2×220344400² = 97103309222720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 275031 + ... + 275830.

Almost surely, 2^220344400 is an apocalyptic number.

220344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220344400 is an abundant number, since it is smaller than the sum of its proper divisors (309033982).

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

220344400 is a wasteful number, since it uses less digits than its factorization.

220344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550879 (or 550868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 220344400 is about 14844.0021557530. The cubic root of 220344400 is about 603.9959212040.

Adding to 220344400 its reverse (4443022), we get a palindrome (224787422).

The spelling of 220344400 in words is "two hundred twenty million, three hundred forty-four thousand, four hundred".