# 208

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

What does the number 208 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

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

## Prime factorization of 208:

### 24 × 13

(2 × 2 × 2 × 2 × 13)

See below for interesting mathematical facts about the number 208 from the Numbermatics database.

### Names of 208

• Cardinal: 208 can be written as Two hundred eight.

### Scientific notation

• Scientific notation: 2.08 × 102

### Factors of 208

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 15

### Divisors of 208

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 434
• Sum of proper divisors (its aliquot sum) s(n): 226
• 208 is an abundant number, because the sum of its proper divisors (226) is greater than itself. Its abundance is 18

### Bases of 208

• Binary: 110100002
• Base-36: 5S

### Squares and roots of 208

• 208 squared (2082) is 43264
• 208 cubed (2083) is 8998912
• The square root of 208 is 14.4222051019
• The cube root of 208 is 5.9249921371

### Scales and comparisons

How big is 208?
• 208 seconds is equal to 3 minutes, 28 seconds.
• To count from 1 to 208 would take you about forty-four 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 208 cubic inches would be around 0.5 feet tall.

### Recreational maths with 208

• 208 backwards is 802
• The number of decimal digits it has is: 3
• The sum of 208's digits is 10
• More coming soon!

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The information we have on file for 208 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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