Is 2002249 a prime number?

2 002 249 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 2 002 249 is about 1 415.008.

Thus, the square root of 2 002 249 is not an integer, and therefore 2 002 249 is not a square number.

Anyway, 2 002 249 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 002 249) is the result of the product of this number (2 002 249) by itself (i.e., 2 002 249 × 2 002 249); the square of 2 002 249 is sometimes called "raising 2 002 249 to the power 2", or "2 002 249 squared".

The square of 2 002 249 is 4 009 001 058 001 because 2 002 249 × 2 002 249 = 2 002 249² = 4 009 001 058 001.

As a consequence, 2 002 249 is the square root of 4 009 001 058 001.

2 002 249 is a number with 7 digits.

The multiples of 2 002 249 are all integers evenly divisible by 2 002 249, that is all numbers such that the remainder of the division by 2 002 249 is zero. There are infinitely many multiples of 2 002 249. The smallest multiples of 2 002 249 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 002 249 too, since 0 × 2 002 249 = 0
• 2 002 249: indeed, 2 002 249 is a multiple of itself, since 2 002 249 is evenly divisible by 2 002 249 (we have 2 002 249 / 2 002 249 = 1, so the remainder of this division is indeed zero)
• 4 004 498: indeed, 4 004 498 = 2 002 249 × 2
• 6 006 747: indeed, 6 006 747 = 2 002 249 × 3
• 8 008 996: indeed, 8 008 996 = 2 002 249 × 4
• 10 011 245: indeed, 10 011 245 = 2 002 249 × 5
• etc.

• Preceding numbers: …2 002 247, 2 002 248
• Following numbers: 2 002 250, 2 002 251…

Nearest numbers from 2 002 249

• Preceding prime number: 2 002 229
• Following prime number: 2 002 267

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• 2 002 249 est-il un nombre premier ?