220100233200 has 120 divisors (see below), whose sum is σ = 742162617600. Its totient is φ = 55604263680.

The previous prime is 220100233189. The next prime is 220100233207. The reversal of 220100233200 is 2332001022.

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

It is a super-2 number, since 2×220100233200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220100233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100233207) 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, 4803960 + ... + 4849559.

It is an arithmetic number, because the mean of its divisors is an integer number (6184688480).

Almost surely, 2^220100233200 is an apocalyptic number.

220100233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100233200 is an abundant number, since it is smaller than the sum of its proper divisors (522062384400).

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

220100233200 is a wasteful number, since it uses less digits than its factorization.

220100233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653559 (or 9653548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 220100233200 its reverse (2332001022), we get a palindrome (222432234222).

The spelling of 220100233200 in words is "two hundred twenty billion, one hundred million, two hundred thirty-three thousand, two hundred".