220232100 has 108 divisors (see below), whose sum is σ = 700514192. Its totient is φ = 53380800.

The previous prime is 220232099. The next prime is 220232101. The reversal of 220232100 is 1232022.

It is an interprime number because it is at equal distance from previous prime (220232099) and next prime (220232101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220232101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33267 + ... + 39333.

Almost surely, 2^220232100 is an apocalyptic number.

220232100 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 220232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350257096).

220232100 is an abundant number, since it is smaller than the sum of its proper divisors (480282092).

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

220232100 is a wasteful number, since it uses less digits than its factorization.

220232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220232100 is about 14840.2190010795. The cubic root of 220232100 is about 603.8932935775.

Adding to 220232100 its reverse (1232022), we get a palindrome (221464122).

The spelling of 220232100 in words is "two hundred twenty million, two hundred thirty-two thousand, one hundred".