Number reference
200 explained.
200: two hundred, composite; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- two hundred
- Classification
- composite
- Factors
- 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
- Prime factorization
- 2 × 2 × 2 × 5 × 5
- Square root
- 14.142136
- Cube root
- 5.848035
- Binary
- 11001000
- Octal
- 310
- Hexadecimal
- C8
- Roman numeral
- CC
- Digit sum
- 2
- Digital root
- 2
What makes 200 notable
- Factor structure. 200 breaks down into 2 distinct primes (2, 5) and has 12 divisors in total, so it can be split into equal whole-number groups 10 ways beyond 1 and itself.
200 in everyday use
Two hundred is the web's quiet signal that all is well: HTTP status 200 OK is returned for every successful page load, and most people never see it because there is nothing to report. The number marks the 200-metre sprint, run around one bend of the track, and a bicentennial, the 200th anniversary. In Roman numerals it is CC. A note of 200 units exists in the euro and several other currencies, and the salary for passing GO in Monopoly is 200.
Mathematically 200 is 2³ × 5², with twelve divisors, and it holds an odd distinction: it is the smallest unprimeable number, meaning that no matter which single digit you change, the result is never prime. Alter the last digit and you get 201, 203, 207, or 209, all composite; alter the tens or hundreds digit and the result stays even. It is also a sum of two squares in two ways, 14² + 2² and 10² + 10², the second making it twice a square.
Nearby numbers
How to read this page
The factor list shows every way 200 splits into equal whole-number groups — 12 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 200 for contexts that do not use decimal.
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