Is 2201 a prime number? What are the divisors of 2201?

## Is 2201 a prime number?

No, 2201 is not a prime number.

For example, 2201 can be divided by 31: 2201 / 31 = 71.

To be 2201 a prime number, it would have been required that 2201 has only two divisors, i.e., itself and 1.

## Parity of 2201

2201 is an odd number, because it is not evenly divisible by 2.

## Is 2201 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 2201 is about 46.915.

Thus, the square root of 2201 is not an integer, and therefore 2201 is not a square number.

## What is the square number of 2201?

The square of a number (here 2201) is the result of the product of this number (2201) by itself (i.e., 2201 × 2201); the square of 2201 is sometimes called "raising 2201 to the power 2", or "2201 squared".

The square of 2201 is 4 844 401 because 2201 × 2201 = 22012 = 4 844 401.

As a consequence, 2201 is the square root of 4 844 401.

## Number of digits of 2201

2201 is a number with 4 digits.

## What are the multiples of 2201?

The multiples of 2201 are all integers evenly divisible by 2201, that is all numbers such that the remainder of the division by 2201 is zero. There are infinitely many multiples of 2201. The smallest multiples of 2201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2201 too, since 0 × 2201 = 0
• 2201: indeed, 2201 is a multiple of itself, since 2201 is evenly divisible by 2201 (we have 2201 / 2201 = 1, so the remainder of this division is indeed zero)
• 4 402: indeed, 4 402 = 2201 × 2
• 6 603: indeed, 6 603 = 2201 × 3
• 8 804: indeed, 8 804 = 2201 × 4
• 11 005: indeed, 11 005 = 2201 × 5
• etc.

## Nearest numbers from 2201

Find out whether some integer is a prime number