Number

522

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

522 (five hundred twenty-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 29. Its proper divisors sum to 648, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DXXII and in binary, 1000001010.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

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5 notable facts · grade C

510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534

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Historical context — 522 AD

Calendar year

Year 522 (DXXII) was a common 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 — 522 BC

Calendar year

The year 522 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: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 522
Ended on: Thursday
December 31, 522
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 520s
520–529
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,504
1504 years before 2026.

In other calendars

Hebrew: 4282 / 4283 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1065 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 514 / 515 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 444 / 443 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 20
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 225
Recamán's sequence: a(1,215) = 522
Square (n²): 272,484
Cube (n³): 142,236,648
Divisor count: 12
σ(n) — sum of divisors: 1,170
φ(n) — Euler's totient: 168
Sum of prime factors: 37

Primality

Prime factorization: 2 × 3 ² × 29

Nearest primes: 521 (−1) · 523 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 29 · 58 · 87 · 174 · 261 (half) · 522

Aliquot sum (sum of proper divisors): 648

Factor pairs (a × b = 522)

1 × 522

2 × 261

3 × 174

6 × 87

9 × 58

18 × 29

First multiples

522 · 1,044 (double) · 1,566 · 2,088 · 2,610 · 3,132 · 3,654 · 4,176 · 4,698 · 5,220

Sums & aliquot sequence

As a sum of two squares: 9² + 21²

As consecutive integers: 173 + 174 + 175 129 + 130 + 131 + 132 54 + 55 + … + 62 38 + 39 + … + 49

Aliquot sequence: 522 → 648 → 1,167 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√522 = [22; (1, 5, 1, 1, 4, 1, 1, 5, 1, 44)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty-two
Ordinal: 522nd
Roman numeral: DXXII
Binary: 1000001010
Octal: 1012
Hexadecimal: 0x20A
Base64: Ago=
One's complement: 65,013 (16-bit)
Scientific notation: 5.22 × 10²
As a duration: 522 s = 8 minutes, 42 seconds

In other bases

ternary (3) 201100

quaternary (4) 20022

quinary (5) 4042

senary (6) 2230

septenary (7) 1344

nonary (9) 640

undecimal (11) 435

duodecimal (12) 376

tridecimal (13) 312

tetradecimal (14) 294

pentadecimal (15) 24c

As an angle

522° = 1 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): φκβʹ
Mayan (base 20): 𝋡·𝋦·𝋢
Chinese: 五百二十二
Chinese (financial): 伍佰貳拾貳

In other modern scripts

Eastern Arabic ٥٢٢ Devanagari ५२२ Bengali ৫২২ Tamil ௫௨௨ Thai ๕๒๒ Tibetan ༥༢༢ Khmer ៥២២ Lao ໕໒໒ Burmese ၅၂၂

Digit at this position in famous constants

π — Pi (π): Digit 522 = 8
e — Euler's number (e): Digit 522 = 7
φ — Golden ratio (φ): Digit 522 = 4
√2 — Pythagoras's (√2): Digit 522 = 1
ln 2 — Natural log of 2: Digit 522 = 2
γ — Euler-Mascheroni (γ): Digit 522 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 522, here are decompositions:

13 + 509 = 522
19 + 503 = 522
23 + 499 = 522
31 + 491 = 522
43 + 479 = 522
59 + 463 = 522
61 + 461 = 522
73 + 449 = 522

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter I With Inverted Breve

U+020A

Uppercase letter (Lu)

UTF-8 encoding: C8 8A (2 bytes).

Lookup U+020A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00020A

RGB(0, 2, 10)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.10.

Address: 0.0.2.10
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.10

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

Musical pitch

Heard as a frequency, 522 Hz is closest to:

Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, -4¢)
Scientific pitch (C4 = 256 Hz): C5 (512 Hz, +33¢)
Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, -3¢)