220302003200 has 528 divisors, whose sum is σ = 592373633280. Its totient is φ = 81068359680.

The previous prime is 220302003179. The next prime is 220302003209. The reversal of 220302003200 is 2300203022.

It is a super-2 number, since 2×220302003200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220302003209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2138854349 + ... + 2138854451.

It is an arithmetic number, because the mean of its divisors is an integer number (1121919760).

Almost surely, 2^220302003200 is an apocalyptic number.

220302003200 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 220302003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296186816640).

220302003200 is an abundant number, since it is smaller than the sum of its proper divisors (372071630080).

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

220302003200 is a wasteful number, since it uses less digits than its factorization.

220302003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 220302003200 its reverse (2300203022), we get a palindrome (222602206222).

The spelling of 220302003200 in words is "two hundred twenty billion, three hundred two million, three thousand, two hundred".