# 2205

## 2,205 is an odd composite number composed of three prime numbers multiplied together.

What does the number 2205 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

2205 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 2205:

### 32 × 5 × 72

(3 × 3 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 2205 from the Numbermatics database.

### Names of 2205

• Cardinal: 2205 can be written as Two thousand, two hundred five.

### Scientific notation

• Scientific notation: 2.205 × 103

### Factors of 2205

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 15

### Divisors of 2205

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 4446
• Sum of proper divisors (its aliquot sum) s(n): 2241
• 2205 is an abundant number, because the sum of its proper divisors (2241) is greater than itself. Its abundance is 36

### Bases of 2205

• Binary: 1000100111012
• Base-36: 1P9

### Squares and roots of 2205

• 2205 squared (22052) is 4862025
• 2205 cubed (22053) is 10720765125
• The square root of 2205 is 46.9574275273
• The cube root of 2205 is 13.0157599791

### Scales and comparisons

How big is 2205?
• 2,205 seconds is equal to 36 minutes, 45 seconds.
• To count from 1 to 2,205 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 2205 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2205

• 2205 backwards is 5022
• 2205 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2205's digits is 9
• More coming soon!