number.wiki
Number

22

22 is a composite number, even, a calendar year.

22 (twenty-two) is an even 2-digit number. It is a composite number with 4 divisors, and factors as 2 × 11. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is XXII and in binary, 10110.

Arithmetic Number Cube-Free Deficient Number Lazy Caterer Number Odious Number Palindrome Partition Number Pentagonal Pernicious Number Perrin Number Preferred Number Recamán's Sequence Repdigit Semiprime Smith Number Squarefree Year

Interestingness

13 notable facts · grade A
less more

Historical context — 22 AD

Calendar year

AD 22 (XXII) was a common year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 22 BC

Calendar year

Year 22 BC was either a common year starting on Sunday, Monday or Tuesday or a leap year starting on Sunday or Saturday of the Julian calendar and a common year starting on Saturday of the Proleptic Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 22
Ended on
Saturday
December 31, 22
Friday the 13ths
1
One Friday the 13th this year.
Decade
20s
20–29
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
2,004
2004 years before 2026.

In other calendars

Hebrew
3782 / 3783 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Horse
Sexagenary cycle position 19 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
565 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
14 / 15 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-56 / -57 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
4
Digit product
4
Digital root
4
Palindrome
Yes
Bit width
5 bits
Recamán's sequence
a(11) = 22
Square (n²)
484
Cube (n³)
10,648
Divisor count
4
σ(n) — sum of divisors
36
φ(n) — Euler's totient
10
Sum of prime factors
13

Primality

Prime factorization: 2 × 11

Nearest primes: 19 (−3) · 23 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 11 (half) · 22
Aliquot sum (sum of proper divisors): 14
Factor pairs (a × b = 22)
1 × 22
2 × 11
First multiples
22 · 44 (double) · 66 · 88 · 110 · 132 · 154 · 176 · 198 · 220

Sums & aliquot sequence

As consecutive integers: 4 + 5 + 6 + 7
Aliquot sequence: 22 14 10 8 7 1 0 — terminates at zero

Continued fraction of √n

√22 = [4; (1, 2, 4, 2, 1, 8)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
twenty-two
Ordinal
22nd
Roman numeral
XXII
Binary
10110
Octal
26
Hexadecimal
0x16
Base64
Fg==
One's complement
233 (8-bit)
Scientific notation
2.2 × 10¹
In other bases
ternary (3) 211
quaternary (4) 112
quinary (5) 42
senary (6) 34
septenary (7) 31
nonary (9) 24
undecimal (11) 20
duodecimal (12) 1a
tridecimal (13) 19
tetradecimal (14) 18
pentadecimal (15) 17

As an angle

22°
22° ≈ 0.384 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓏺𓏺
Greek (Milesian)
κβʹ
Mayan (base 20)
𝋡·𝋢
Chinese
二十二
Chinese (financial)
貳拾貳
In other modern scripts
Eastern Arabic ٢٢ Devanagari २२ Bengali ২২ Tamil ௨௨ Thai ๒๒ Tibetan ༢༢ Khmer ២២ Lao ໒໒ Burmese ၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 22 = 2
e — Euler's number (e)
Digit 22 = 0
φ — Golden ratio (φ)
Digit 22 = 4
√2 — Pythagoras's (√2)
Digit 22 = 1
ln 2 — Natural log of 2
Digit 22 = 7
γ — Euler-Mascheroni (γ)
Digit 22 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 22, here are decompositions:

  • 3 + 19 = 22
  • 5 + 17 = 22
  • 11 + 11 = 22
ASCII character

As an ASCII codepoint, 22 is control character (0x16). ASCII control character.

Network port

TCP/UDP port 22 is the well-known port for SSH — Secure Shell — encrypted remote login.

Hex color
#000016
RGB(0, 0, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.22.

Address
0.0.0.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.22

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 22 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F0 (21.8 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): F♯0 (22.6 Hz, -49¢ — about midway to F0)
  • Baroque pitch (A4 = 415 Hz): F♯0 (21.8 Hz, +15¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 22 is A♯0 (29.1 Hz at concert pitch). (very low — many laptop and phone speakers can't reproduce it)

Atomic number

On the periodic table, atomic number 22 is Titanium (Ti) — period 4.

Related reading