Is 2239 a prime number? What are the divisors of 2239?

## Is 2239 a prime number?

Yes, 2239 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 2239, the only two divisors are 1 and 2239. Therefore 2239 is a prime number.

As a consequence, 2239 is only a multiple of 1 and 2239.

Since 2239 is a prime number, 2239 is also a deficient number, that is to say 2239 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2239 without 2239 itself (that is 1, by definition!).

## Parity of 2239

2239 is an odd number, because it is not evenly divisible by 2.

## Is 2239 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2239 is about 47.318.

Thus, the square root of 2239 is not an integer, and therefore 2239 is not a square number.

Anyway, 2239 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2239?

The square of a number (here 2239) is the result of the product of this number (2239) by itself (i.e., 2239 × 2239); the square of 2239 is sometimes called "raising 2239 to the power 2", or "2239 squared".

The square of 2239 is 5 013 121 because 2239 × 2239 = 22392 = 5 013 121.

As a consequence, 2239 is the square root of 5 013 121.

## Number of digits of 2239

2239 is a number with 4 digits.

## What are the multiples of 2239?

The multiples of 2239 are all integers evenly divisible by 2239, that is all numbers such that the remainder of the division by 2239 is zero. There are infinitely many multiples of 2239. The smallest multiples of 2239 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2239 too, since 0 × 2239 = 0
• 2239: indeed, 2239 is a multiple of itself, since 2239 is evenly divisible by 2239 (we have 2239 / 2239 = 1, so the remainder of this division is indeed zero)
• 4 478: indeed, 4 478 = 2239 × 2
• 6 717: indeed, 6 717 = 2239 × 3
• 8 956: indeed, 8 956 = 2239 × 4
• 11 195: indeed, 11 195 = 2239 × 5
• etc.

## Nearest numbers from 2239

Find out whether some integer is a prime number