# 2208

## 2,208 is an even composite number composed of three prime numbers multiplied together.

What does the number 2208 look like?

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

2208 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 2208:

### 25 × 3 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 23)

See below for interesting mathematical facts about the number 2208 from the Numbermatics database.

### Names of 2208

• Cardinal: 2208 can be written as Two thousand, two hundred eight.

### Scientific notation

• Scientific notation: 2.208 × 103

### Factors of 2208

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 28

### Divisors of 2208

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 6048
• Sum of proper divisors (its aliquot sum) s(n): 3840
• 2208 is an abundant number, because the sum of its proper divisors (3840) is greater than itself. Its abundance is 1632

### Bases of 2208

• Binary: 1000101000002
• Base-36: 1PC

### Squares and roots of 2208

• 2208 squared (22082) is 4875264
• 2208 cubed (22083) is 10764582912
• The square root of 2208 is 46.9893604979
• The cube root of 2208 is 13.0216601431

### Scales and comparisons

How big is 2208?
• 2,208 seconds is equal to 36 minutes, 48 seconds.
• To count from 1 to 2,208 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 2208 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2208

• 2208 backwards is 8022
• 2208 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2208's digits is 12
• More coming soon!