220211200 has 288 divisors, whose sum is σ = 658082880. Its totient is φ = 72089600.

The previous prime is 220211191. The next prime is 220211203. The reversal of 220211200 is 2112022.

220211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (220211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9574389 + ... + 9574411.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^220211200 is an apocalyptic number.

220211200 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 220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

220211200 is an abundant number, since it is smaller than the sum of its proper divisors (437871680).

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

220211200 is a wasteful number, since it uses less digits than its factorization.

220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220211200 is about 14839.5148168665. The cubic root of 220211200 is about 603.8741898394.

Adding to 220211200 its reverse (2112022), we get a palindrome (222323222).

It can be divided in two parts, 2 and 20211200, that added together give a palindrome (20211202).

The spelling of 220211200 in words is "two hundred twenty million, two hundred eleven thousand, two hundred".