# 2188

## 2,188 is an even composite number composed of two prime numbers multiplied together.

What does the number 2188 look like?

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

2188 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 2188:

### 22 × 547

(2 × 2 × 547)

See below for interesting mathematical facts about the number 2188 from the Numbermatics database.

### Names of 2188

• Cardinal: 2188 can be written as Two thousand, one hundred eighty-eight.

### Scientific notation

• Scientific notation: 2.188 × 103

### Factors of 2188

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 549

### Divisors of 2188

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 3836
• Sum of proper divisors (its aliquot sum) s(n): 1648
• 2188 is a deficient number, because the sum of its proper divisors (1648) is less than itself. Its deficiency is 540

### Bases of 2188

• Binary: 1000100011002
• Base-36: 1OS

### Squares and roots of 2188

• 2188 squared (21882) is 4787344
• 2188 cubed (21883) is 10474708672
• The square root of 2188 is 46.7760622541
• The cube root of 2188 is 12.9822242257

### Scales and comparisons

How big is 2188?
• 2,188 seconds is equal to 36 minutes, 28 seconds.
• To count from 1 to 2,188 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 2188 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2188

• 2188 backwards is 8812
• The number of decimal digits it has is: 4
• The sum of 2188's digits is 19
• More coming soon!