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Number

22,229

22,229 is a prime, odd.

22,229 (twenty-two thousand two hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x56D5.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
92,222
Recamán's sequence
a(85,394) = 22,229
Square (n²)
494,128,441
Cube (n³)
10,983,981,114,989
Divisor count
2
σ(n) — sum of divisors
22,230
φ(n) — Euler's totient
22,228

Primality

22,229 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 22229
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 22,229)
1 × 22229
First multiples
22,229 · 44,458 (double) · 66,687 · 88,916 · 111,145 · 133,374 · 155,603 · 177,832 · 200,061 · 222,290

Sums & aliquot sequence

As a sum of two squares: 73² + 130²
As consecutive integers: 11,114 + 11,115

Continued fraction of √n

√22,229 = [149; (10, 1, 1, 1, 4, 1, 3, 3, 1, 4, 1, 1, 1, 10, 298)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
twenty-two thousand two hundred twenty-nine
Ordinal
22229th
Binary
101011011010101
Octal
53325
Hexadecimal
0x56D5
Base64
VtU=
One's complement
43,306 (16-bit)
Scientific notation
2.2229 × 10⁴
As a duration
22,229 s = 6 hours, 10 minutes, 29 seconds
In other bases
ternary (3) 1010111022
quaternary (4) 11123111
quinary (5) 1202404
senary (6) 250525
septenary (7) 121544
nonary (9) 33438
undecimal (11) 15779
duodecimal (12) 10a45
tridecimal (13) a16c
tetradecimal (14) 815b
pentadecimal (15) 68be

As an angle

22,229° = 61 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κβσκθʹ
Mayan (base 20)
𝋢·𝋯·𝋫·𝋩
Chinese
二萬二千二百二十九
Chinese (financial)
貳萬貳仟貳佰貳拾玖
In other modern scripts
Eastern Arabic ٢٢٢٢٩ Devanagari २२२२९ Bengali ২২২২৯ Tamil ௨௨௨௨௯ Thai ๒๒๒๒๙ Tibetan ༢༢༢༢༩ Khmer ២២២២៩ Lao ໒໒໒໒໙ Burmese ၂၂၂၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 22,229 = 2
e — Euler's number (e)
Digit 22,229 = 6
φ — Golden ratio (φ)
Digit 22,229 = 7
√2 — Pythagoras's (√2)
Digit 22,229 = 1
ln 2 — Natural log of 2
Digit 22,229 = 2
γ — Euler-Mascheroni (γ)
Digit 22,229 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 22,193 (gap of 36)
  • Next prime: 22,247 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-56D5
U+56D5
Other letter (Lo)

UTF-8 encoding: E5 9B 95 (3 bytes).

Hex color
#0056D5
RGB(0, 86, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.86.213.

Address
0.0.86.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.86.213

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

Position in π

The digit sequence 22229 first appears in π at position 216,368 of the decimal expansion (the 216,368ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.