220288400 has 30 divisors (see below), whose sum is σ = 529243842. Its totient is φ = 88115200.

The previous prime is 220288361. The next prime is 220288459. The reversal of 220288400 is 4882022.

It can be written as a sum of positive squares in 3 ways, for example, as 53465344 + 166823056 = 7312^2 + 12916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220288400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274961 + ... + 275760.

Almost surely, 2^220288400 is an apocalyptic number.

220288400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220288400 is an abundant number, since it is smaller than the sum of its proper divisors (308955442).

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

220288400 is a wasteful number, since it uses less digits than its factorization.

220288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550739 (or 550728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 220288400 is about 14842.1157521426. The cubic root of 220288400 is about 603.9447488311.

The spelling of 220288400 in words is "two hundred twenty million, two hundred eighty-eight thousand, four hundred".