2206319100 has 72 divisors (see below), whose sum is σ = 6422922240. Its totient is φ = 584729280.

The previous prime is 2206319051. The next prime is 2206319111. The reversal of 2206319100 is 19136022.

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, 26341 + ... + 71459.

Almost surely, 2^2206319100 is an apocalyptic number.

2206319100 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 2206319100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211461120).

2206319100 is an abundant number, since it is smaller than the sum of its proper divisors (4216603140).

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

2206319100 is a wasteful number, since it uses less digits than its factorization.

2206319100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45299 (or 45292 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2206319100 is about 46971.4711287607. The cubic root of 2206319100 is about 1301.8354939975.

The spelling of 2206319100 in words is "two billion, two hundred six million, three hundred nineteen thousand, one hundred".