Search a number
2189 = 11199

2189 has 4 divisors (see below), whose sum is σ = 2400. Its totient is φ = 1980.

The previous prime is 2179. The next prime is 2203. The reversal of 2189 is 9812.

2189 = 262 + 272 + 282.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2189 - 28 = 1933 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

22189 is an apocalyptic number.

It is an amenable number.

2189 is a deficient number, since it is larger than the sum of its proper divisors (211).

2189 is a wasteful number, since it uses less digits than its factorization.

2189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its digits is 144, while the sum is 20.

The square root of 2189 is about 46.7867502612. The cubic root of 2189 is about 12.9842017162.

Adding to 2189 its sum of digits (20), we get a square (2209 = 472).

It can be divided in two parts, 2 and 189, that multiplied together give a triangular number (378 = T27).

The spelling of 2189 in words is "two thousand, one hundred eighty-nine".

Divisors: 1 11 199 2189