2204

2,204 is an even composite number composed of three prime numbers multiplied together.

What does the number 2204 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2204 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 2204:

22 × 19 × 29

(2 × 2 × 19 × 29)

See below for interesting mathematical facts about the number 2204 from the Numbermatics database.


Names of 2204

  • Cardinal: 2204 can be written as Two thousand, two hundred four.

Scientific notation

  • Scientific notation: 2.204 × 103

Factors of 2204

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 50

Divisors of 2204

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4200
  • Sum of proper divisors (its aliquot sum) s(n): 1996
  • 2204 is a deficient number, because the sum of its proper divisors (1996) is less than itself. Its deficiency is 208

Bases of 2204

  • Binary: 1000100111002
  • Hexadecimal: 0x89C
  • Base-36: 1P8

Squares and roots of 2204

  • 2204 squared (22042) is 4857616
  • 2204 cubed (22043) is 10706185664
  • The square root of 2204 is 46.9467783773
  • The cube root of 2204 is 13.0137920685

Scales and comparisons

How big is 2204?
  • 2,204 seconds is equal to 36 minutes, 44 seconds.
  • To count from 1 to 2,204 would take you about thirty-six 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 2204 cubic inches would be around 1.1 feet tall.

Recreational maths with 2204

  • 2204 backwards is 4022
  • The number of decimal digits it has is: 4
  • The sum of 2204's digits is 8
  • More coming soon!

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"Number 2204 - Facts about the integer". Numbermatics.com. 2021. Web. 15 May 2021.

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Numbermatics. (2021). Number 2204 - Facts about the integer. Retrieved 15 May 2021, from https://numbermatics.com/n/2204/

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The information we have on file for 2204 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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