220522400 has 144 divisors (see below), whose sum is σ = 627709824. Its totient is φ = 74081280.

The previous prime is 220522349. The next prime is 220522403. The reversal of 220522400 is 4225022.

It is not an unprimeable number, because it can be changed into a prime (220522403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 296429 + ... + 297171.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2^220522400 is an apocalyptic number.

220522400 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 220522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912).

220522400 is an abundant number, since it is smaller than the sum of its proper divisors (407187424).

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

220522400 is a wasteful number, since it uses less digits than its factorization.

220522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 220522400 is about 14849.9966329963. The cubic root of 220522400 is about 604.1585186905.

Adding to 220522400 its reverse (4225022), we get a palindrome (224747422).

The spelling of 220522400 in words is "two hundred twenty million, five hundred twenty-two thousand, four hundred".