# 2209

## 2,209 is an odd composite number. It is composed of a single prime number multiplied by itself.

What does the number 2209 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 3 divisors.

2209 is an odd composite number. It has a total of three divisors.

## Prime factorization of 2209:

### 472

(47 × 47)

See below for interesting mathematical facts about the number 2209 from the Numbermatics database.

### Names of 2209

• Cardinal: 2209 can be written as Two thousand, two hundred nine.

### Scientific notation

• Scientific notation: 2.209 × 103

### Factors of 2209

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 47

### Divisors of 2209

• Number of divisors d(n): 3
• Complete list of divisors:
• Sum of all divisors σ(n): 2257
• Sum of proper divisors (its aliquot sum) s(n): 48
• 2209 is a deficient number, because the sum of its proper divisors (48) is less than itself. Its deficiency is 2161

### Bases of 2209

• Binary: 1000101000012
• Base-36: 1PD

### Squares and roots of 2209

• 2209 squared (22092) is 4879681
• 2209 cubed (22093) is 10779215329
• 2209 is a perfect square number. Its square root is 47
• The cube root of 2209 is 13.0236256767

### Scales and comparisons

How big is 2209?
• 2,209 seconds is equal to 36 minutes, 49 seconds.
• To count from 1 to 2,209 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 2209 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2209

• 2209 backwards is 9022
• The number of decimal digits it has is: 4
• The sum of 2209's digits is 13
• More coming soon!