220220400 has 240 divisors, whose sum is σ = 752808960. Its totient is φ = 54912000.

The previous prime is 220220383. The next prime is 220220419. The reversal of 220220400 is 4022022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2180350 + ... + 2180450.

It is an arithmetic number, because the mean of its divisors is an integer number (3136704).

Almost surely, 2^220220400 is an apocalyptic number.

220220400 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 220220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376404480).

220220400 is an abundant number, since it is smaller than the sum of its proper divisors (532588560).

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

220220400 is a wasteful number, since it uses less digits than its factorization.

220220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220220400 is about 14839.8247968094. The cubic root of 220220400 is about 603.8825992893.

Adding to 220220400 its reverse (4022022), we get a palindrome (224242422).

The spelling of 220220400 in words is "two hundred twenty million, two hundred twenty thousand, four hundred".