2200900 has 36 divisors (see below), whose sum is σ = 5146372. Its totient is φ = 812160.

The previous prime is 2200889. The next prime is 2200909. The reversal of 2200900 is 90022.

It can be written as a sum of positive squares in 6 ways, for example, as 329476 + 1871424 = 574^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200909) 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, 454 + ... + 2146.

2^2200900 is an apocalyptic number.

2200900 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 2200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573186).

2200900 is an abundant number, since it is smaller than the sum of its proper divisors (2945472).

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

2200900 is a wasteful number, since it uses less digits than its factorization.

2200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2200900 is about 1483.5430563351. The cubic root of 2200900 is about 130.0768776051.

Adding to 2200900 its reverse (90022), we get a palindrome (2290922).

The spelling of 2200900 in words is "two million, two hundred thousand, nine hundred".