Number

192

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

192 (one hundred ninety-two) is an even 3-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 3. Its proper divisors sum to 316, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CXCII and in binary, 11000000.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204

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Historical context — 192 AD

Calendar year

Year 192 (CXCII) was a leap year starting on Saturday of the Julian calendar.

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

Historical context — 192 BC

Calendar year

Year 192 BC was a year of the pre-Julian Roman calendar.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Sunday
January 1, 192
Ended on: Monday
December 31, 192
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 190s
190–199
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,834
1834 years before 2026.

In other calendars

Hebrew: 3952 / 3953 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 735 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 184 / 185 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 114 / 113 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 18
Digital root: 3
Palindrome: No
Bit width: 8 bits
Reversed: 291
Recamán's sequence: a(1,387) = 192
Square (n²): 36,864
Cube (n³): 7,077,888
Divisor count: 14
σ(n) — sum of divisors: 508
φ(n) — Euler's totient: 64
Sum of prime factors: 15

Primality

Prime factorization: 2 ⁶ × 3

Nearest primes: 191 (−1) · 193 (+1)

Divisors & multiples

All divisors (14)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 (half) · 192

Aliquot sum (sum of proper divisors): 316

Factor pairs (a × b = 192)

1 × 192

2 × 96

3 × 64

4 × 48

6 × 32

8 × 24

12 × 16

First multiples

192 · 384 (double) · 576 · 768 · 960 · 1,152 · 1,344 · 1,536 · 1,728 · 1,920

Sums & aliquot sequence

As consecutive integers: 63 + 64 + 65

Aliquot sequence: 192 → 316 → 244 → 190 → 170 → 154 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√192 = [13; (1, 5, 1, 26)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred ninety-two
Ordinal: 192nd
Roman numeral: CXCII
Binary: 11000000
Octal: 300
Hexadecimal: 0xC0
Base64: wA==
One's complement: 63 (8-bit)
Scientific notation: 1.92 × 10²
As a duration: 192 s = 3 minutes, 12 seconds

In other bases

ternary (3) 21010

quaternary (4) 3000

quinary (5) 1232

senary (6) 520

septenary (7) 363

nonary (9) 233

undecimal (11) 165

duodecimal (12) 140

tridecimal (13) 11a

tetradecimal (14) da

pentadecimal (15) cc

Palindromic in base 7

As an angle

192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ρϟβʹ
Mayan (base 20): 𝋩·𝋬
Chinese: 一百九十二
Chinese (financial): 壹佰玖拾貳

In other modern scripts

Eastern Arabic ١٩٢ Devanagari १९२ Bengali ১৯২ Tamil ௧௯௨ Thai ๑๙๒ Tibetan ༡༩༢ Khmer ១៩២ Lao ໑໙໒ Burmese ၁၉၂

Digit at this position in famous constants

π — Pi (π): Digit 192 = 5
e — Euler's number (e): Digit 192 = 9
φ — Golden ratio (φ): Digit 192 = 2
√2 — Pythagoras's (√2): Digit 192 = 8
ln 2 — Natural log of 2: Digit 192 = 7
γ — Euler-Mascheroni (γ): Digit 192 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 192, here are decompositions:

11 + 181 = 192
13 + 179 = 192
19 + 173 = 192
29 + 163 = 192
41 + 151 = 192
43 + 149 = 192
53 + 139 = 192
61 + 131 = 192

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter A With Grave

U+00C0

Uppercase letter (Lu)

UTF-8 encoding: C3 80 (2 bytes).

Lookup U+00C0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000C0

RGB(0, 0, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.192.

Address: 0.0.0.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.192

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

Musical pitch

Heard as a frequency, 192 Hz is closest to:

Concert pitch (A4 = 440 Hz): G3 (196 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): G3 (191.8 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): G♯3 (195.9 Hz, -34¢)