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198 (number)

From Wikipedia, the free encyclopedia
← 197 198 199 →
Cardinalone hundred ninety-eight
Ordinal198th
(one hundred ninety-eighth)
Factorization2 × 32 × 11
Greek numeralΡϞΗ´
Roman numeralCXCVIII, cxcviii
Binary110001102
Ternary211003
Senary5306
Octal3068
Duodecimal14612
HexadecimalC616

198 (one hundred [and] ninety-eight) is the natural number following 197 and preceding 199.

In mathematics

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  • 198 is the smallest number that can be written as a sum of four positive squares in ten different ways: 198 = 12 + 22 + 72 + 122 = 12 + 42 + 92 + 102 = 22 + 32 + 42 + 132 = 22 + 32 + 82 + 112 = 22 + 52 + 52 + 122 = 22 + 72 + 82 + 92 = 32 + 32 + 62 + 122 = 32 + 52 + 82 + 102 = 42 + 52 + 62 + 112 = 62 + 72 + 72 + 82.[1][2]
  • 198 is a Pell–Lucas number. Its corresponding Pell number is 70.[3]
  • 198 is a Harshad number, which means it is divisible by the sum of its digits.[4]

References

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  1. ^ "198". NumberADay. Mathematical Association of America. 2012-10-25. Retrieved 2023-06-04.
  2. ^ "A025366 - OEIS". oeis.org. Retrieved 2023-06-04.
  3. ^ "A002203 - OEIS". oeis.org. Retrieved 2023-06-04.
  4. ^ "A005349 - OEIS". oeis.org. Retrieved 2023-06-04.