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200 (number)

From Wikipedia, the free encyclopedia
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Cardinalfifty
Ordinal50th
(fiftieth)
Factorization2 × 52
Greek numeralΝ´
Roman numeralL, l
Binary1100102
Ternary12123
Senary1226
Octal628
Duodecimal4212
Hexadecimal3216
ArmenianՄ
Hebrewר
Babylonian cuneiform𒐗⟪
Egyptian hieroglyph𓍣

200 (two hundred) is the natural number following 199 and preceding 201.

In mathematics

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200 is an abundant number, as 265, the sum of its proper divisors, is greater than itself.

The number appears in the Padovan sequence, preceded by 86, 114, 151 (it is the sum of the first two of these).[1]

The sum of Euler's totient function φ(x) over the first twenty-five integers is 200.

200 is the smallest base 10 unprimeable number – it cannot be turned into a prime number by changing just one of its digits to any other digit. It is also a Harshad number.

200 is an Achilles number.[2]

References

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  1. ^ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A052486 (Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.