215 (number)

← 214 215 216 →
← 210 211 212 213 214 215 216 217 218 219 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred fifteen
Ordinal	215th (two hundred fifteenth)
Factorization	5 × 43
Divisors	5, 43
Greek numeral	ΣΙΕ´
Roman numeral	CCXV
Binary	110101112
Ternary	212223
Senary	5556
Octal	3278
Duodecimal	15B12
Hexadecimal	D716

215 (two hundred [and] fifteen) is the natural number following 214 and preceding 216.

In mathematics

• 215 is a composite number and a semiprime (${\displaystyle =5\times 43}$).
• ${\displaystyle 215=(3!)^{3}-1}$.
• 215 is the second smallest integer (after 5) such that ${\displaystyle n^{2}-17}$ is twice a square: ${\displaystyle 215^{2}-17=2\times 152^{2}}$. ^[1]
• 215 is a vertically symmetric number on a calculator display (sequence A053701 in the OEIS ).
• There are 215 sequences of four integers, counting re-arrangements as distinct, such that the sum of their reciprocals is 1. ^[2] These are:
  • 24 arrangements of (2,3,7,42), (2,3,8,24), (2,3,9,18), (2,3,10,15), (2,4,5,20) and (2,4,6,12).
  • 12 arrangements of (3,3,4,12), (3,4,4,6), (2,3,12,12), (2,4,8,8) and (2,5,5,10).
  • 6 arrangements of (3,3,6,6).
  • 4 arrangements of (2,6,6,6).
  • 1 arrangement of (4,4,4,4).

In other fields

• 215 Oenone is a main belt asteroid.
• E215 is the E number of Sodium ethyl para-hydroxybenzoate.
• There are several highways numbered 215.

215 is also:

• The Dewey Decimal Classification for Science and religion.
• The year AD 215 or 215 BC
• 215 is often used as slang for marijuana, from California Proposition 215, legalizing it for medical use.
• The first area code of metropolitan Philadelphia, Pennsylvania

References

1. (sequence A144796 in the OEIS )
2. (sequence A002967 in the OEIS )