# 23201

## 23,201 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 23201 look like?

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

23201 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 23201:

### 23201

See below for interesting mathematical facts about the number 23201 from the Numbermatics database.

### Names of 23201

• Cardinal: 23201 can be written as Twenty-three thousand, two hundred one.

### Scientific notation

• Scientific notation: 2.3201 × 104

### Factors of 23201

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 23201

### Divisors of 23201

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 23202
• Sum of proper divisors (its aliquot sum) s(n): 1
• 23201 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 23200

### Bases of 23201

• Binary: 1011010101000012
• Base-36: HWH

### Squares and roots of 23201

• 23201 squared (232012) is 538286401
• 23201 cubed (232013) is 12488782789601
• The square root of 23201 is 152.3187447427
• The cube root of 23201 is 28.5212727195

### Scales and comparisons

How big is 23201?
• 23,201 seconds is equal to 6 hours, 26 minutes, 41 seconds.
• To count from 1 to 23,201 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 23201 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23201

• 23201 backwards is 10232
• 23201 is a twin prime! Its twin is 23203
• The number of decimal digits it has is: 5
• The sum of 23201's digits is 8
• More coming soon!