220223033300 has 72 divisors (see below), whose sum is σ = 494489314200. Its totient is φ = 85029880320.

The previous prime is 220223033279. The next prime is 220223033333. The reversal of 220223033300 is 3330322022.

220223033300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 153410088976 + 66812944324 = 391676^2 + 258482^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 15690686 + ... + 15704714.

Almost surely, 2^220223033300 is an apocalyptic number.

220223033300 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 220223033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247244657100).

220223033300 is an abundant number, since it is smaller than the sum of its proper divisors (274266280900).

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

220223033300 is a wasteful number, since it uses less digits than its factorization.

220223033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19485 (or 19478 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 220223033300 its reverse (3330322022), we get a palindrome (223553355322).

The spelling of 220223033300 in words is "two hundred twenty billion, two hundred twenty-three million, thirty-three thousand, three hundred".