# 2164

## 2,164 is an even composite number composed of two prime numbers multiplied together.

What does the number 2164 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

2164 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 2164:

### 22 × 541

(2 × 2 × 541)

See below for interesting mathematical facts about the number 2164 from the Numbermatics database.

### Names of 2164

• Cardinal: 2164 can be written as Two thousand, one hundred sixty-four.

### Scientific notation

• Scientific notation: 2.164 × 103

### Factors of 2164

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 543

### Divisors of 2164

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 3794
• Sum of proper divisors (its aliquot sum) s(n): 1630
• 2164 is a deficient number, because the sum of its proper divisors (1630) is less than itself. Its deficiency is 534

### Bases of 2164

• Binary: 1000011101002
• Base-36: 1O4

### Squares and roots of 2164

• 2164 squared (21642) is 4682896
• 2164 cubed (21643) is 10133786944
• The square root of 2164 is 46.5188133985
• The cube root of 2164 is 12.9345826075

### Scales and comparisons

How big is 2164?
• 2,164 seconds is equal to 36 minutes, 4 seconds.
• To count from 1 to 2,164 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 2164 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2164

• 2164 backwards is 4612
• The number of decimal digits it has is: 4
• The sum of 2164's digits is 13
• More coming soon!