# 2202

## 2,202 is an even composite number composed of three prime numbers multiplied together.

What does the number 2202 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

2202 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 2202:

### 2 × 3 × 367

See below for interesting mathematical facts about the number 2202 from the Numbermatics database.

### Names of 2202

• Cardinal: 2202 can be written as Two thousand, two hundred two.

### Scientific notation

• Scientific notation: 2.202 × 103

### Factors of 2202

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 372

### Divisors of 2202

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 4416
• Sum of proper divisors (its aliquot sum) s(n): 2214
• 2202 is an abundant number, because the sum of its proper divisors (2214) is greater than itself. Its abundance is 12

### Bases of 2202

• Binary: 1000100110102
• Base-36: 1P6

### Squares and roots of 2202

• 2202 squared (22022) is 4848804
• 2202 cubed (22023) is 10677066408
• The square root of 2202 is 46.9254728267
• The cube root of 2202 is 13.0098544611

### Scales and comparisons

How big is 2202?
• 2,202 seconds is equal to 36 minutes, 42 seconds.
• To count from 1 to 2,202 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 2202 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2202

• 2202 backwards is 2022
• 2202 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2202's digits is 6
• More coming soon!