2,221 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 2221 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

2221 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 2221:


See below for interesting mathematical facts about the number 2221 from the Numbermatics database.

Names of 2221

  • Cardinal: 2221 can be written as Two thousand, two hundred twenty-one.

Scientific notation

  • Scientific notation: 2.221 × 103

Factors of 2221

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 2221

Divisors of 2221

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2222
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 2221 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2220

Bases of 2221

  • Binary: 1000101011012
  • Hexadecimal: 0x8AD
  • Base-36: 1PP

Squares and roots of 2221

  • 2221 squared (22212) is 4932841
  • 2221 cubed (22213) is 10955839861
  • The square root of 2221 is 47.1274866717
  • The cube root of 2221 is 13.0471659461

Scales and comparisons

How big is 2221?
  • 2,221 seconds is equal to 37 minutes, 1 second.
  • To count from 1 to 2,221 would take you about thirty-seven minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 2221 cubic inches would be around 1.1 feet tall.

Recreational maths with 2221

  • 2221 backwards is 1222
  • The number of decimal digits it has is: 4
  • The sum of 2221's digits is 7
  • More coming soon!

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The information we have on file for 2221 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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