Live analysis

1,022,220

1,022,220 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,022,220 (one million twenty-two thousand two hundred twenty) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 5 × 631. Its proper divisors sum to 2,189,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF990C.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,022,208 1,022,209 1,022,210 1,022,211 1,022,212 1,022,213 1,022,214 1,022,215 1,022,216 1,022,217 1,022,218 1,022,219 1,022,220 1,022,221 1,022,222 1,022,223 1,022,224 1,022,225 1,022,226 1,022,227 1,022,228 1,022,229 1,022,230 1,022,231 1,022,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 222,201
Recamán's sequence: a(371,887) = 1,022,220
Square (n²): 1,044,933,728,400
Cube (n³): 1,068,152,155,845,048,000
Divisor count: 60
σ(n) — sum of divisors: 3,211,824
φ(n) — Euler's totient: 272,160
Sum of prime factors: 652

Primality

Prime factorization: 2 ² × 3 ⁴ × 5 × 631

Nearest primes: 1,022,209 (−11) · 1,022,237 (+17)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 45 · 54 · 60 · 81 · 90 · 108 · 135 · 162 · 180 · 270 · 324 · 405 · 540 · 631 · 810 · 1262 · 1620 · 1893 · 2524 · 3155 · 3786 · 5679 · 6310 · 7572 · 9465 · 11358 · 12620 · 17037 · 18930 · 22716 · 28395 · 34074 · 37860 · 51111 · 56790 · 68148 · 85185 · 102222 · 113580 · 170370 · 204444 · 255555 · 340740 · 511110 (half) · 1022220

Aliquot sum (sum of proper divisors): 2,189,604

Factor pairs (a × b = 1,022,220)

1 × 1022220

2 × 511110

3 × 340740

4 × 255555

5 × 204444

6 × 170370

9 × 113580

10 × 102222

12 × 85185

15 × 68148

18 × 56790

20 × 51111

27 × 37860

30 × 34074

36 × 28395

45 × 22716

54 × 18930

60 × 17037

81 × 12620

90 × 11358

108 × 9465

135 × 7572

162 × 6310

180 × 5679

270 × 3786

324 × 3155

405 × 2524

540 × 1893

631 × 1620

810 × 1262

First multiples

1,022,220 · 2,044,440 (double) · 3,066,660 · 4,088,880 · 5,111,100 · 6,133,320 · 7,155,540 · 8,177,760 · 9,199,980 · 10,222,200

Sums & aliquot sequence

As consecutive integers: 340,739 + 340,740 + 340,741 204,442 + 204,443 + 204,444 + 204,445 + 204,446 127,774 + 127,775 + … + 127,781 113,576 + 113,577 + … + 113,584

Aliquot sequence: 1,022,220 → 2,189,604 → 2,919,500 → 3,457,780 → 3,894,572 → 3,540,604 → 2,971,076 → 2,263,804 → 1,742,996 → 1,389,952 → 1,379,348 → 1,043,212 → 892,148 → 669,118 → 348,530 → 425,614 → 341,834 — unresolved within range

Continued fraction of √n

√1,022,220 = [1011; (20, 2, 2, 1, 4, 1, 1, 1, 1, 4, 2, 1, 1, 2, 8, 5, 2, 13, 2, 24, 2, 13, 2, 5, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million twenty-two thousand two hundred twenty
Ordinal: 1022220th
Binary: 11111001100100001100
Octal: 3714414
Hexadecimal: 0xF990C
Base64: D5kM
One's complement: 4,293,945,075 (32-bit)
Scientific notation: 1.02222 × 10⁶
As a duration: 1,022,220 s = 11 days, 19 hours, 57 minutes

In other bases

ternary (3) 1220221020000

quaternary (4) 3321210030

quinary (5) 230202340

senary (6) 33524300

septenary (7) 11455143

nonary (9) 1827200

undecimal (11) 639011

duodecimal (12) 413690

tridecimal (13) 29a384

tetradecimal (14) 1c875a

pentadecimal (15) 152d30

As an angle

1,022,220° = 2,839 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百零二萬二千二百二十
Chinese (financial): 壹佰零貳萬貳仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٢٢٢٢٠ Devanagari १०२२२२० Bengali ১০২২২২০ Tamil ௧௦௨௨௨௨௦ Thai ๑๐๒๒๒๒๐ Tibetan ༡༠༢༢༢༢༠ Khmer ១០២២២២០ Lao ໑໐໒໒໒໒໐ Burmese ၁၀၂၂၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022220, here are decompositions:

11 + 1022209 = 1022220
19 + 1022201 = 1022220
29 + 1022191 = 1022220
37 + 1022183 = 1022220
41 + 1022179 = 1022220
53 + 1022167 = 1022220
79 + 1022141 = 1022220
83 + 1022137 = 1022220

Showing the first eight; more decompositions exist.

Hex color

#0F990C

RGB(15, 153, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.153.12.

Address: 0.15.153.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.153.12

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 2220 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2220-02-01 (DMMYYYY (Euro, single-digit day))
2220-10-02 (MMDYYYY (US, single-digit day))
2220-02-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,022,220 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,022,220 on Google Patents ↗ Look up on USPTO ↗