2164

2,164 is an even composite number composed of two prime numbers multiplied together.

What does the number 2164 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

2164 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

Prime factorization of 2164:

22 × 541

(2 × 2 × 541)

See below for interesting mathematical facts about the number 2164 from the Numbermatics database.


Names of 2164

  • Cardinal: 2164 can be written as Two thousand, one hundred sixty-four.

Scientific notation

  • Scientific notation: 2.164 × 103

Factors of 2164

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 543

Divisors of 2164

  • Number of divisors d(n): 6
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3794
  • Sum of proper divisors (its aliquot sum) s(n): 1630
  • 2164 is a deficient number, because the sum of its proper divisors (1630) is less than itself. Its deficiency is 534

Bases of 2164

  • Binary: 1000011101002
  • Hexadecimal: 0x874
  • Base-36: 1O4

Squares and roots of 2164

  • 2164 squared (21642) is 4682896
  • 2164 cubed (21643) is 10133786944
  • The square root of 2164 is 46.5188133985
  • The cube root of 2164 is 12.9345826075

Scales and comparisons

How big is 2164?
  • 2,164 seconds is equal to 36 minutes, 4 seconds.
  • To count from 1 to 2,164 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 2164 cubic inches would be around 1.1 feet tall.

Recreational maths with 2164

  • 2164 backwards is 4612
  • The number of decimal digits it has is: 4
  • The sum of 2164's digits is 13
  • More coming soon!

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 2164 - Facts about the integer". Numbermatics.com. 2021. Web. 10 May 2021.

APA style:
Numbermatics. (2021). Number 2164 - Facts about the integer. Retrieved 10 May 2021, from https://numbermatics.com/n/2164/

Chicago style:
Numbermatics. 2021. "Number 2164 - Facts about the integer". https://numbermatics.com/n/2164/

The information we have on file for 2164 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 2164, math, Factors of 2164, curriculum, school, college, exams, university, Prime factorization of 2164, STEM, science, technology, engineering, physics, economics, calculator, two thousand, one hundred sixty-four.