Live analysis

1,002,220

1,002,220 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.).

1,002,220 (one million two thousand two hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,111. Its proper divisors sum to 1,102,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4AEC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,208 1,002,209 1,002,210 1,002,211 1,002,212 1,002,213 1,002,214 1,002,215 1,002,216 1,002,217 1,002,218 1,002,219 1,002,220 1,002,221 1,002,222 1,002,223 1,002,224 1,002,225 1,002,226 1,002,227 1,002,228 1,002,229 1,002,230 1,002,231 1,002,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 222,001
Square (n²): 1,004,444,928,400
Cube (n³): 1,006,674,796,141,048,000
Divisor count: 12
σ(n) — sum of divisors: 2,104,704
φ(n) — Euler's totient: 400,880
Sum of prime factors: 50,120

Primality

Prime factorization: 2 ² × 5 × 50111

Nearest primes: 1,002,191 (−29) · 1,002,227 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50111 · 100222 · 200444 · 250555 · 501110 (half) · 1002220

Aliquot sum (sum of proper divisors): 1,102,484

Factor pairs (a × b = 1,002,220)

1 × 1002220

2 × 501110

4 × 250555

5 × 200444

10 × 100222

20 × 50111

First multiples

1,002,220 · 2,004,440 (double) · 3,006,660 · 4,008,880 · 5,011,100 · 6,013,320 · 7,015,540 · 8,017,760 · 9,019,980 · 10,022,200

Sums & aliquot sequence

As consecutive integers: 200,442 + 200,443 + 200,444 + 200,445 + 200,446 125,274 + 125,275 + … + 125,281 25,036 + 25,037 + … + 25,075

Aliquot sequence: 1,002,220 → 1,102,484 → 1,010,284 → 918,524 → 688,900 → 824,241 → 374,703 → 206,697 → 68,903 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,002,220 = [1001; (9, 7, 25, 4, 1, 9, 2, 2, 2, 2, 38, 1, 5, 2, 6, 3, 14, 2, 2, 7, 3, 1, 2, 1, …)]

Representations

In words: one million two thousand two hundred twenty
Ordinal: 1002220th
Binary: 11110100101011101100
Octal: 3645354
Hexadecimal: 0xF4AEC
Base64: D0rs
One's complement: 4,293,965,075 (32-bit)
Scientific notation: 1.00222 × 10⁶
As a duration: 1,002,220 s = 11 days, 14 hours, 23 minutes, 40 seconds

In other bases

ternary (3) 1212220210021

quaternary (4) 3310223230

quinary (5) 224032340

senary (6) 33251524

septenary (7) 11342632

nonary (9) 1786707

undecimal (11) 624a8a

duodecimal (12) 403ba4

tridecimal (13) 29123b

tetradecimal (14) 1c1352

pentadecimal (15) 14be4a

As an angle

1,002,220° = 2,783 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬二千二百二十
Chinese (financial): 壹佰萬貳仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٢٢٠ Devanagari १००२२२० Bengali ১০০২২২০ Tamil ௧௦௦௨௨௨௦ Thai ๑๐๐๒๒๒๐ Tibetan ༡༠༠༢༢༢༠ Khmer ១០០២២២០ Lao ໑໐໐໒໒໒໐ Burmese ၁၀၀၂၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002220, here are decompositions:

29 + 1002191 = 1002220
47 + 1002173 = 1002220
71 + 1002149 = 1002220
137 + 1002083 = 1002220
239 + 1001981 = 1002220
389 + 1001831 = 1002220
419 + 1001801 = 1002220
599 + 1001621 = 1002220

Showing the first eight; more decompositions exist.

Hex color

#0F4AEC

RGB(15, 74, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.236.

Address: 0.15.74.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.236

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

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 1,002,220 and was likely granted around 1911.

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

Look up US1,002,220 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002220 first appears in π at position 13,722 of the decimal expansion (the 13,722ordinal-suffix:nd 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.

Look up 1002220 on Pi Search ↗