220379100 has 216 divisors, whose sum is σ = 717870720. Its totient is φ = 51955200.

The previous prime is 220379069. The next prime is 220379113. The reversal of 220379100 is 1973022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5375080 + ... + 5375120.

Almost surely, 2^220379100 is an apocalyptic number.

220379100 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 220379100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358935360).

220379100 is an abundant number, since it is smaller than the sum of its proper divisors (497491620).

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

220379100 is a wasteful number, since it uses less digits than its factorization.

220379100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 220379100 is about 14845.1709319900. The cubic root of 220379100 is about 604.0276254487.

The spelling of 220379100 in words is "two hundred twenty million, three hundred seventy-nine thousand, one hundred".