220233133200 has 120 divisors (see below), whose sum is σ = 705694251328. Its totient is φ = 58711011840.

The previous prime is 220233133147. The next prime is 220233133201. The reversal of 220233133200 is 2331332022.

220233133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (220233133201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4194309 + ... + 4246491.

Almost surely, 2^220233133200 is an apocalyptic number.

220233133200 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 220233133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352847125664).

220233133200 is an abundant number, since it is smaller than the sum of its proper divisors (485461118128).

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

220233133200 is a wasteful number, since it uses less digits than its factorization.

220233133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55721 (or 55710 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 220233133200 its reverse (2331332022), we get a palindrome (222564465222).

It can be divided in two parts, 2 and 20233133200, that added together give a palindrome (20233133202).

The spelling of 220233133200 in words is "two hundred twenty billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred".