# 200

## 200 is an even composite number composed of two prime numbers multiplied together.

What does the number 200 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

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

## Prime factorization of 200:

### 23 × 52

(2 × 2 × 2 × 5 × 5)

See below for interesting mathematical facts about the number 200 from the Numbermatics database.

### Names of 200

• Cardinal: 200 can be written as Two hundred.

### Scientific notation

• Scientific notation: 2 × 102

### Factors of 200

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 7

### Divisors of 200

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 465
• Sum of proper divisors (its aliquot sum) s(n): 265
• 200 is an abundant number, because the sum of its proper divisors (265) is greater than itself. Its abundance is 65

### Bases of 200

• Binary: 110010002
• Base-36: 5K

### Squares and roots of 200

• 200 squared (2002) is 40000
• 200 cubed (2003) is 8000000
• The square root of 200 is 14.1421356237
• The cube root of 200 is 5.8480354765

### Scales and comparisons

How big is 200?
• 200 seconds is equal to 3 minutes, 20 seconds.
• To count from 1 to 200 would take you about forty seconds.

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 200 cubic inches would be around 0.5 feet tall.

### Recreational maths with 200

• 200 backwards is 002
• 200 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 200's digits is 2
• More coming soon!

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The information we have on file for 200 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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