# 2166

## 2,166 is an even composite number composed of three prime numbers multiplied together.

What does the number 2166 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2166 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2166:

### 2 × 3 × 192

(2 × 3 × 19 × 19)

See below for interesting mathematical facts about the number 2166 from the Numbermatics database.

### Names of 2166

• Cardinal: 2166 can be written as Two thousand, one hundred sixty-six.

### Scientific notation

• Scientific notation: 2.166 × 103

### Factors of 2166

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 24

### Divisors of 2166

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4572
• Sum of proper divisors (its aliquot sum) s(n): 2406
• 2166 is an abundant number, because the sum of its proper divisors (2406) is greater than itself. Its abundance is 240

### Bases of 2166

• Binary: 1000011101102
• Base-36: 1O6

### Squares and roots of 2166

• 2166 squared (21662) is 4691556
• 2166 cubed (21663) is 10161910296
• The square root of 2166 is 46.5403051129
• The cube root of 2166 is 12.9385661563

### Scales and comparisons

How big is 2166?
• 2,166 seconds is equal to 36 minutes, 6 seconds.
• To count from 1 to 2,166 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 2166 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2166

• 2166 backwards is 6612
• The number of decimal digits it has is: 4
• The sum of 2166's digits is 15
• More coming soon!

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