# 233

## 233 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 233 look like?

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

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

## Prime factorization of 233:

### 233

See below for interesting mathematical facts about the number 233 from the Numbermatics database.

### Names of 233

• Cardinal: 233 can be written as Two hundred thirty-three.

### Scientific notation

• Scientific notation: 2.33 × 102

### Factors of 233

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 233

### Divisors of 233

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 234
• Sum of proper divisors (its aliquot sum) s(n): 1
• 233 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 232

### Bases of 233

• Binary: 111010012
• Base-36: 6H

### Squares and roots of 233

• 233 squared (2332) is 54289
• 233 cubed (2333) is 12649337
• The square root of 233 is 15.2643375225
• The cube root of 233 is 6.1534494937

### Scales and comparisons

How big is 233?
• 233 seconds is equal to 3 minutes, 53 seconds.
• To count from 1 to 233 would take you about fifty-six 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 233 cubic inches would be around 0.5 feet tall.

### Recreational maths with 233

• 233 backwards is 332
• The number of decimal digits it has is: 3
• The sum of 233's digits is 8
• More coming soon!