2251
2251 is a natural number that follows 2250 and precedes 2252. In mathematics, it is a prime number, meaning it has no positive divisors other than 1 and itself. A standard check by trial division shows that 2251 is not divisible by any prime less than or equal to its square root (which is about 47); it leaves a nonzero remainder when divided by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, or 47. Therefore its only divisors are 1 and 2251.
Representations of 2251 include: in Roman numerals, MMCCLI; in hexadecimal, 0x8CB; in binary, 100011001011.
From a numeric properties perspective, 2251 is odd; the sum of its decimal digits is 10, giving
Prime numbers like 2251 appear in many areas of number theory and recreational mathematics, including discussions