220353100 has 54 divisors (see below), whose sum is σ = 525616532. Its totient is φ = 80124000.

The previous prime is 220353083. The next prime is 220353101. The reversal of 220353100 is 1353022.

It is a super-2 number, since 2×220353100² = 97110977359220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220353101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2995 + ... + 21205.

Almost surely, 2^220353100 is an apocalyptic number.

220353100 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 220353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262808266).

220353100 is an abundant number, since it is smaller than the sum of its proper divisors (305263432).

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

220353100 is a wasteful number, since it uses less digits than its factorization.

220353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18247 (or 18229 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 220353100 is about 14844.2952005139. The cubic root of 220353100 is about 604.0038704195.

The spelling of 220353100 in words is "two hundred twenty million, three hundred fifty-three thousand, one hundred".