22,414
22,414 cubic centimetres is the volume one mole of an ideal gas occupies at standard temperature and pressure.
- Even
- Composite
Why 22,414 is special
Usually met as '22.4 litres', and usually met without the conditions, which is where it goes wrong: the figure holds at 0 °C and one atmosphere. IUPAC changed the standard pressure to 100 kPa in 1982, which makes the modern figure 22.711 litres, so the number most people learned is answering a question nobody now asks.
Factors & digit properties
- Divisors (8)
- 1, 2, 7, 14, 1601, 3202, 11207, 22414
- Prime factorisation
- 2 × 7 × 1601
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 22414
- Scientific notation
- 2.241 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 1 0 1 1 1 1 0 0 0 1 1 1 0
1 × 16,384 + 0 × 8,192 + 1 × 4,096 + 0 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 22,414
Octal
5 3 6 1 6
5 × 4,096 + 3 × 512 + 6 × 64 + 1 × 8 + 6 × 1 = 22,414
Hexadecimal
5 7 8 e
5 × 4,096 + 7 × 256 + 8 × 16 + e × 1 = 22,414
Read as powers of two: 16,384 + 4,096 + 1,024 + 512 + 256 + 128 + 8 + 4 + 2 = 22,414.
In historical numeral systems
Egyptian
2 fingers, 2 lotuses, 4 coils of rope, 1 hobble, 4 strokes
2 × 10,000 + 2 × 1,000 + 4 × 100 + 1 × 10 + 4 × 1 = 22,414. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
Science
The volume one mole of an ideal gas occupies at 0 degrees Celsius and one atmosphere is 22,414 cubic centimetres (worldwide, the older STP convention). IUPAC moved standard pressure to 100 kPa in 1982, which makes the modern figure 22,711 cubic centimetres. The number most people learned answers a question that is no longer the standard one.
DocumentedScienceGeography: worldwide, the older STP convention
Common questions
Is 22,414 a prime number?
No, 22,414 is not prime.
What are the factors of 22,414?
The factors of 22,414 are 1, 2, 7, 14, 1601, 3202, 11207, 22414.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026