# 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!