# 223

## 223 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 223 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

223 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 223:

### 223

See below for interesting mathematical facts about the number 223 from the Numbermatics database.

### Names of 223

• Cardinal: 223 can be written as Two hundred twenty-three.

### Scientific notation

• Scientific notation: 2.23 × 102

### Factors of 223

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 223

### Divisors of 223

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 224
• Sum of proper divisors (its aliquot sum) s(n): 1
• 223 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 222

### Bases of 223

• Binary: 110111112
• Base-36: 67

### Squares and roots of 223

• 223 squared (2232) is 49729
• 223 cubed (2233) is 11089567
• The square root of 223 is 14.9331845229
• The cube root of 223 is 6.0641269945

### Scales and comparisons

How big is 223?
• 223 seconds is equal to 3 minutes, 43 seconds.
• To count from 1 to 223 would take you about fifty-one seconds.

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 223 cubic inches would be around 0.5 feet tall.

### Recreational maths with 223

• 223 backwards is 322
• The number of decimal digits it has is: 3
• The sum of 223's digits is 7
• More coming soon!