220342100 has 72 divisors (see below), whose sum is σ = 552339648. Its totient is φ = 75404800.

The previous prime is 220342099. The next prime is 220342123. The reversal of 220342100 is 1243022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12809 + ... + 24591.

It is an arithmetic number, because the mean of its divisors is an integer number (7671384).

Almost surely, 2^220342100 is an apocalyptic number.

220342100 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 220342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276169824).

220342100 is an abundant number, since it is smaller than the sum of its proper divisors (331997548).

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

220342100 is a wasteful number, since it uses less digits than its factorization.

220342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11825 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220342100 is about 14843.9246831827. The cubic root of 220342100 is about 603.9938196523.

Adding to 220342100 its reverse (1243022), we get a palindrome (221585122).

The spelling of 220342100 in words is "two hundred twenty million, three hundred forty-two thousand, one hundred".