# 2232

## 2,232 is an even composite number composed of three prime numbers multiplied together.

What does the number 2232 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2232 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 2232:

### 23 × 32 × 31

(2 × 2 × 2 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 2232 from the Numbermatics database.

### Names of 2232

• Cardinal: 2232 can be written as Two thousand, two hundred thirty-two.

### Scientific notation

• Scientific notation: 2.232 × 103

### Factors of 2232

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 36

### Divisors of 2232

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 6240
• Sum of proper divisors (its aliquot sum) s(n): 4008
• 2232 is an abundant number, because the sum of its proper divisors (4008) is greater than itself. Its abundance is 1776

### Bases of 2232

• Binary: 1000101110002
• Base-36: 1Q0

### Squares and roots of 2232

• 2232 squared (22322) is 4981824
• 2232 cubed (22323) is 11119431168
• The square root of 2232 is 47.2440472441
• The cube root of 2232 is 13.0686701543

### Scales and comparisons

How big is 2232?
• 2,232 seconds is equal to 37 minutes, 12 seconds.
• To count from 1 to 2,232 would take you about thirty-seven 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 2232 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2232

• 2232 backwards is 2322
• 2232 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2232's digits is 9
• More coming soon!