22208

22,208 is an even composite number composed of two prime numbers multiplied together.

What does the number 22208 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

22208 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

Prime factorization of 22208:

26 × 347

(2 × 2 × 2 × 2 × 2 × 2 × 347)

See below for interesting mathematical facts about the number 22208 from the Numbermatics database.


Names of 22208

  • Cardinal: 22208 can be written as Twenty-two thousand, two hundred eight.

Scientific notation

  • Scientific notation: 2.2208 × 104

Factors of 22208

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 349

Divisors of 22208

  • Number of divisors d(n): 14
  • Complete list of divisors:
  • Sum of all divisors σ(n): 44196
  • Sum of proper divisors (its aliquot sum) s(n): 21988
  • 22208 is a deficient number, because the sum of its proper divisors (21988) is less than itself. Its deficiency is 220

Bases of 22208

  • Binary: 1010110110000002
  • Hexadecimal: 0x56C0
  • Base-36: H4W

Squares and roots of 22208

  • 22208 squared (222082) is 493195264
  • 22208 cubed (222083) is 10952880422912
  • The square root of 22208 is 149.0234880815
  • The cube root of 22208 is 28.1084231533

Scales and comparisons

How big is 22208?
  • 22,208 seconds is equal to 6 hours, 10 minutes, 8 seconds.
  • To count from 1 to 22,208 would take you about six hours.

    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 22208 cubic inches would be around 2.3 feet tall.

Recreational maths with 22208

  • 22208 backwards is 80222
  • The number of decimal digits it has is: 5
  • The sum of 22208's digits is 14
  • More coming soon!

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"Number 22208 - Facts about the integer". Numbermatics.com. 2022. Web. 12 August 2022.

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Numbermatics. (2022). Number 22208 - Facts about the integer. Retrieved 12 August 2022, from https://numbermatics.com/n/22208/

Chicago style:
Numbermatics. 2022. "Number 22208 - Facts about the integer". https://numbermatics.com/n/22208/

The information we have on file for 22208 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!

Keywords: Divisors of 22208, math, Factors of 22208, curriculum, school, college, exams, university, Prime factorization of 22208, STEM, science, technology, engineering, physics, economics, calculator, twenty-two thousand, two hundred eight.

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