2208

2,208 is an even composite number composed of three prime numbers multiplied together.

What does the number 2208 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2208 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 2208:

25 × 3 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 23)

See below for interesting mathematical facts about the number 2208 from the Numbermatics database.

Quick links:
Names Factors Divisors Scales Roots Fun

Names of 2208

  • Cardinal: 2208 can be written as Two thousand, two hundred eight.

Scientific notation

  • Scientific notation: 2.208 × 103

Factors of 2208

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 28

Divisors of 2208

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 6048
  • Sum of proper divisors (its aliquot sum) s(n): 3840
  • 2208 is an abundant number, because the sum of its proper divisors (3840) is greater than itself. Its abundance is 1632

Bases of 2208

  • Binary: 1000101000002
  • Hexadecimal: 0x8A0
  • Base-36: 1PC

Squares and roots of 2208

  • 2208 squared (22082) is 4875264
  • 2208 cubed (22083) is 10764582912
  • The square root of 2208 is 46.9893604979
  • The cube root of 2208 is 13.0216601431

Scales and comparisons

How big is 2208?
  • 2,208 seconds is equal to 36 minutes, 48 seconds.
  • To count from 1 to 2,208 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 2208 cubic inches would be around 1.1 feet tall.

Recreational maths with 2208

  • 2208 backwards is 8022
  • 2208 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 2208's digits is 12
  • More coming soon!

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"Number 2208 - Facts about the integer". Numbermatics.com. 2019. Web. 20 October 2019.

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Numbermatics. (2019). Number 2208 - Facts about the integer. Retrieved 20 October 2019, from https://numbermatics.com/n/2208/

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The information we have on file for 2208 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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