Is 2221 a prime number?

2 221 is an odd number, because it is not evenly divisible by 2.

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• What is an even 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 2 221 is about 47.127.

Thus, the square root of 2 221 is not an integer, and therefore 2 221 is not a square number.

Anyway, 2 221 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 221) is the result of the product of this number (2 221) by itself (i.e., 2 221 × 2 221); the square of 2 221 is sometimes called "raising 2 221 to the power 2", or "2 221 squared".

The square of 2 221 is 4 932 841 because 2 221 × 2 221 = 2 221² = 4 932 841.

As a consequence, 2 221 is the square root of 4 932 841.

2 221 is a number with 4 digits.

The multiples of 2 221 are all integers evenly divisible by 2 221, that is all numbers such that the remainder of the division by 2 221 is zero. There are infinitely many multiples of 2 221. The smallest multiples of 2 221 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 221 too, since 0 × 2 221 = 0
• 2 221: indeed, 2 221 is a multiple of itself, since 2 221 is evenly divisible by 2 221 (we have 2 221 / 2 221 = 1, so the remainder of this division is indeed zero)
• 4 442: indeed, 4 442 = 2 221 × 2
• 6 663: indeed, 6 663 = 2 221 × 3
• 8 884: indeed, 8 884 = 2 221 × 4
• 11 105: indeed, 11 105 = 2 221 × 5
• etc.

• Preceding numbers: …2 219, 2 220
• Following numbers: 2 222, 2 223…

Nearest numbers from 2 221

• Preceding prime number: 2 213
• Following prime number: 2 237

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• 2 221 est-il un nombre premier ?