# 22008

## 22,008 is an even composite number composed of four prime numbers multiplied together.

What does the number 22008 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

22008 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 22008:

### 23 × 3 × 7 × 131

(2 × 2 × 2 × 3 × 7 × 131)

See below for interesting mathematical facts about the number 22008 from the Numbermatics database.

### Names of 22008

• Cardinal: 22008 can be written as Twenty-two thousand and eight.

### Scientific notation

• Scientific notation: 2.2008 × 104

### Factors of 22008

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 143

### Divisors of 22008

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 63360
• Sum of proper divisors (its aliquot sum) s(n): 41352
• 22008 is an abundant number, because the sum of its proper divisors (41352) is greater than itself. Its abundance is 19344

### Bases of 22008

• Binary: 1010101111110002
• Base-36: GZC

### Squares and roots of 22008

• 22008 squared (220082) is 484352064
• 22008 cubed (220083) is 10659620224512
• The square root of 22008 is 148.3509352853
• The cube root of 22008 is 28.0237893063

### Scales and comparisons

How big is 22008?
• 22,008 seconds is equal to 6 hours, 6 minutes, 48 seconds.
• To count from 1 to 22,008 would take you about six hours.

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 22008 cubic inches would be around 2.3 feet tall.

### Recreational maths with 22008

• 22008 backwards is 80022
• 22008 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 22008's digits is 12
• More coming soon!