# 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!