2206900 has 36 divisors (see below), whose sum is σ = 4960620. Its totient is φ = 851200.

The previous prime is 2206877. The next prime is 2206901. The reversal of 2206900 is 96022.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 1705636 = 708^2 + 1306^2 .

It is a super-2 number, since 2×2206900² = 9740815220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206901) 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, 2520 + ... + 3280.

It is an arithmetic number, because the mean of its divisors is an integer number (137795).

2^2206900 is an apocalyptic number.

2206900 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 2206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480310).

2206900 is an abundant number, since it is smaller than the sum of its proper divisors (2753720).

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

2206900 is a wasteful number, since it uses less digits than its factorization.

2206900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2206900 is about 1485.5638660118. The cubic root of 2206900 is about 130.1949737049.

The spelling of 2206900 in words is "two million, two hundred six thousand, nine hundred".