# 221952

## 221,952 is an even composite number composed of three prime numbers multiplied together.

What does the number 221952 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

221952 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

## Prime factorization of 221952:

### 28 × 3 × 172

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17)

See below for interesting mathematical facts about the number 221952 from the Numbermatics database.

### Names of 221952

• Cardinal: 221952 can be written as Two hundred twenty-one thousand, nine hundred fifty-two.

### Scientific notation

• Scientific notation: 2.21952 × 105

### Factors of 221952

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 22

### Divisors of 221952

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 627508
• Sum of proper divisors (its aliquot sum) s(n): 405556
• 221952 is an abundant number, because the sum of its proper divisors (405556) is greater than itself. Its abundance is 183604

### Bases of 221952

• Binary: 1101100011000000002
• Base-36: 4R9C

### Squares and roots of 221952

• 221952 squared (2219522) is 49262690304
• 221952 cubed (2219523) is 10933952638353408
• The square root of 221952 is 471.1178196587
• The cube root of 221952 is 60.5461251513

### Scales and comparisons

How big is 221952?
• 221,952 seconds is equal to 2 days, 13 hours, 39 minutes, 12 seconds.
• To count from 1 to 221,952 would take you about two days.

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 221952 cubic inches would be around 5 feet tall.

### Recreational maths with 221952

• 221952 backwards is 259122
• The number of decimal digits it has is: 6
• The sum of 221952's digits is 21
• More coming soon!