# 2204

## 2,204 is an even composite number composed of three prime numbers multiplied together.

What does the number 2204 look like?

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

2204 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 2204:

### 22 × 19 × 29

(2 × 2 × 19 × 29)

See below for interesting mathematical facts about the number 2204 from the Numbermatics database.

### Names of 2204

• Cardinal: 2204 can be written as Two thousand, two hundred four.

### Scientific notation

• Scientific notation: 2.204 × 103

### Factors of 2204

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 50

### Divisors of 2204

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4200
• Sum of proper divisors (its aliquot sum) s(n): 1996
• 2204 is a deficient number, because the sum of its proper divisors (1996) is less than itself. Its deficiency is 208

### Bases of 2204

• Binary: 1000100111002
• Base-36: 1P8

### Squares and roots of 2204

• 2204 squared (22042) is 4857616
• 2204 cubed (22043) is 10706185664
• The square root of 2204 is 46.9467783773
• The cube root of 2204 is 13.0137920685

### Scales and comparisons

How big is 2204?
• 2,204 seconds is equal to 36 minutes, 44 seconds.
• To count from 1 to 2,204 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 2204 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2204

• 2204 backwards is 4022
• The number of decimal digits it has is: 4
• The sum of 2204's digits is 8
• More coming soon!