2200 has 24 divisors (see below), whose sum is σ = 5580. Its totient is φ = 800.

The previous prime is 2179. The next prime is 2203. The reversal of 2200 is 22.

Adding to 2200 its reverse (22), we get a palindrome (2222).

Multipling 2200 by its reverse (22), we get a square (48400 = 220^{2}).

2200 divided by its reverse (22) gives a square (100 = 10^{2}).

It can be divided in two parts, 2 and 200, that multiplied together give a square (400 = 20^{2}).

2200 is nontrivially palindromic in base 16.

2200 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2200 is an undulating number in base 7 and base 16.

It is a plaindrome in base 12.

It is a nialpdrome in base 10 and base 14.

It is a zygodrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195 + ... + 205.

2^{2200} is an apocalyptic number.

2200 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 2200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790).

2200 is an abundant number, since it is smaller than the sum of its proper divisors (3380).

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

2200 is a wasteful number, since it uses less digits than its factorization.

2200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2200 is about 46.9041575982. The cubic root of 2200 is about 13.0059144685.

The spelling of 2200 in words is "two thousand, two hundred", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.053 sec. • engine limits •