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235 (number)

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← 234 235 236 →
Cardinaltwo hundred thirty-five
Ordinal235th
(two hundred thirty-fifth)
Factorization5 × 47
Greek numeralΣΛΕ´
Roman numeralCCXXXV, ccxxxv
Binary111010112
Ternary222013
Senary10316
Octal3538
Duodecimal17712
HexadecimalEB16

235 (two hundred [and] thirty-five) is the integer following 234 and preceding 236.

In mathematics

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235 is a heptagonal number,[1] a centered triangular number,[2] and a Smarandache–Wellin number.[3] It is a Harshad number in bases 6, 47, 48, 95, 116, 189 and 231. It is palindromic in bases 4 (32234), 7 (4547), 8 (3538), 13 (15113), and 46 (5546)

There are 235 different trees with 11 unlabeled nodes.[4]

If an equilateral triangle is subdivided into smaller equilateral triangles whose side length is 1/9 as small, the resulting "matchstick arrangement" will have exactly 235 different equilateral triangles of varying sizes in it.[5]

In other fields

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The Metonic cycle is 235 synodic months.

References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A000566 (Heptagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A005448 (Centered triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A019518 (smarandache-wellin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A002717". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.