# 2200

## 2,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 2200 look like?

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

2200 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 2200:

### 23 × 52 × 11

(2 × 2 × 2 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 2200 from the Numbermatics database.

### Names of 2200

• Cardinal: 2200 can be written as Two thousand, two hundred.

### Scientific notation

• Scientific notation: 2.2 × 103

### Factors of 2200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 18

### Divisors of 2200

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5580
• Sum of proper divisors (its aliquot sum) s(n): 3380
• 2200 is an abundant number, because the sum of its proper divisors (3380) is greater than itself. Its abundance is 1180

### Bases of 2200

• Binary: 1000100110002
• Base-36: 1P4

### Squares and roots of 2200

• 2200 squared (22002) is 4840000
• 2200 cubed (22003) is 10648000000
• The square root of 2200 is 46.9041575983
• The cube root of 2200 is 13.0059144685

### Scales and comparisons

How big is 2200?
• 2,200 seconds is equal to 36 minutes, 40 seconds.
• To count from 1 to 2,200 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 2200 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2200

• 2200 backwards is 0022
• 2200 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2200's digits is 4
• More coming soon!

MLA style:
"Number 2200 - Facts about the integer". Numbermatics.com. 2021. Web. 19 October 2021.

APA style:
Numbermatics. (2021). Number 2200 - Facts about the integer. Retrieved 19 October 2021, from https://numbermatics.com/n/2200/

Chicago style:
Numbermatics. 2021. "Number 2200 - Facts about the integer". https://numbermatics.com/n/2200/

The information we have on file for 2200 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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