# 23232

## 23,232 is an even composite number composed of three prime numbers multiplied together.

What does the number 23232 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

23232 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 23232:

### 26 × 3 × 112

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11)

See below for interesting mathematical facts about the number 23232 from the Numbermatics database.

### Names of 23232

• Cardinal: 23232 can be written as Twenty-three thousand, two hundred thirty-two.

### Scientific notation

• Scientific notation: 2.3232 × 104

### Factors of 23232

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 16

### Divisors of 23232

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 67564
• Sum of proper divisors (its aliquot sum) s(n): 44332
• 23232 is an abundant number, because the sum of its proper divisors (44332) is greater than itself. Its abundance is 21100

### Bases of 23232

• Binary: 1011010110000002
• Base-36: HXC

### Squares and roots of 23232

• 23232 squared (232322) is 539725824
• 23232 cubed (232323) is 12538910343168
• The square root of 23232 is 152.4204710661
• The cube root of 23232 is 28.5339699589

### Scales and comparisons

How big is 23232?
• 23,232 seconds is equal to 6 hours, 27 minutes, 12 seconds.
• To count from 1 to 23,232 would take you about six hours.

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 23232 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23232

• 23232 is the same when its digits are reversed! That makes it a palindromic number.
• 23232 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 23232's digits is 12
• More coming soon!