2206100 has 36 divisors (see below), whose sum is σ = 5158524. Its totient is φ = 814080.

The previous prime is 2206097. The next prime is 2206103. The reversal of 2206100 is 16022.

It is an interprime number because it is at equal distance from previous prime (2206097) and next prime (2206103).

It can be written as a sum of positive squares in 6 ways, for example, as 3844 + 2202256 = 62^2 + 1484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452 + ... + 2148.

2^2206100 is an apocalyptic number.

2206100 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 2206100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579262).

2206100 is an abundant number, since it is smaller than the sum of its proper divisors (2952424).

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

2206100 is a wasteful number, since it uses less digits than its factorization.

2206100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2206100 is about 1485.2945835759. The cubic root of 2206100 is about 130.1792399355.

The spelling of 2206100 in words is "two million, two hundred six thousand, one hundred".