# 23552

## 23,552 is an even composite number composed of two prime numbers multiplied together.

What does the number 23552 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 22 divisors.

23552 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-two divisors.

## Prime factorization of 23552:

### 210 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23)

See below for interesting mathematical facts about the number 23552 from the Numbermatics database.

### Names of 23552

• Cardinal: 23552 can be written as Twenty-three thousand, five hundred fifty-two.

### Scientific notation

• Scientific notation: 2.3552 × 104

### Factors of 23552

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 25

### Divisors of 23552

• Number of divisors d(n): 22
• Complete list of divisors:
• Sum of all divisors σ(n): 49128
• Sum of proper divisors (its aliquot sum) s(n): 25576
• 23552 is an abundant number, because the sum of its proper divisors (25576) is greater than itself. Its abundance is 2024

### Bases of 23552

• Binary: 1011100000000002
• Base-36: I68

### Squares and roots of 23552

• 23552 squared (235522) is 554696704
• 23552 cubed (235523) is 13064216772608
• The square root of 23552 is 153.4666087461
• The cube root of 23552 is 28.6643829681

### Scales and comparisons

How big is 23552?
• 23,552 seconds is equal to 6 hours, 32 minutes, 32 seconds.
• To count from 1 to 23,552 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 23552 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23552

• 23552 backwards is 25532
• The number of decimal digits it has is: 5
• The sum of 23552's digits is 17
• More coming soon!