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Live analysis

1,000,224

1,000,224 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.).
Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,220,001
Square (n²)
1,000,448,050,176
Cube (n³)
1,000,672,150,539,239,424
Divisor count
72
σ(n) — sum of divisors
2,987,712
φ(n) — Euler's totient
316,800
Sum of prime factors
190

Primality

Prime factorization: 2 5 × 3 2 × 23 × 151

Nearest primes: 1,000,213 (−11) · 1,000,231 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 23 · 24 · 32 · 36 · 46 · 48 · 69 · 72 · 92 · 96 · 138 · 144 · 151 · 184 · 207 · 276 · 288 · 302 · 368 · 414 · 453 · 552 · 604 · 736 · 828 · 906 · 1104 · 1208 · 1359 · 1656 · 1812 · 2208 · 2416 · 2718 · 3312 · 3473 · 3624 · 4832 · 5436 · 6624 · 6946 · 7248 · 10419 · 10872 · 13892 · 14496 · 20838 · 21744 · 27784 · 31257 · 41676 · 43488 · 55568 · 62514 · 83352 · 111136 · 125028 · 166704 · 250056 · 333408 · 500112 (half) · 1000224
Aliquot sum (sum of proper divisors): 1,987,488
Factor pairs (a × b = 1,000,224)
1 × 1000224
2 × 500112
3 × 333408
4 × 250056
6 × 166704
8 × 125028
9 × 111136
12 × 83352
16 × 62514
18 × 55568
23 × 43488
24 × 41676
32 × 31257
36 × 27784
46 × 21744
48 × 20838
69 × 14496
72 × 13892
92 × 10872
96 × 10419
138 × 7248
144 × 6946
151 × 6624
184 × 5436
207 × 4832
276 × 3624
288 × 3473
302 × 3312
368 × 2718
414 × 2416
453 × 2208
552 × 1812
604 × 1656
736 × 1359
828 × 1208
906 × 1104
First multiples
1,000,224 · 2,000,448 (double) · 3,000,672 · 4,000,896 · 5,001,120 · 6,001,344 · 7,001,568 · 8,001,792 · 9,002,016 · 10,002,240

Sums & aliquot sequence

As consecutive integers: 333,407 + 333,408 + 333,409 111,132 + 111,133 + … + 111,140 43,477 + 43,478 + … + 43,499 15,597 + 15,598 + … + 15,660
Aliquot sequence: 1,000,224 1,987,488 3,804,480 9,291,252 13,136,748 17,676,804 26,630,844 35,591,316 47,632,524 63,510,060 115,139,796 153,519,756 249,029,748 455,300,172 700,099,164 1,126,685,796 1,544,602,908 — unresolved within range

Continued fraction of √n

√1,000,224 = [1000; (8, 1, 13, 10, 7, 1, 1, 40, 3, 2, 8, 1, 1, 499, 1, 1, 8, 2, 3, 40, 1, 1, 7, 10, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million two hundred twenty-four
Ordinal
1000224th
Binary
11110100001100100000
Octal
3641440
Hexadecimal
0xF4320
Base64
D0Mg
One's complement
4,293,967,071 (32-bit)
Scientific notation
1.000224 × 10⁶
As a duration
1,000,224 s = 11 days, 13 hours, 50 minutes, 24 seconds
In other bases
ternary (3) 1212211001100
quaternary (4) 3310030200
quinary (5) 224001344
senary (6) 33234400
septenary (7) 11334051
nonary (9) 1784040
undecimal (11) 623535
duodecimal (12) 402a00
tridecimal (13) 290364
tetradecimal (14) 1c0728
pentadecimal (15) 14b569

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬零二百二十四
Chinese (financial)
壹佰萬零貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٠٠٢٢٤ Devanagari १०००२२४ Bengali ১০০০২২৪ Tamil ௧௦௦௦௨௨௪ Thai ๑๐๐๐๒๒๔ Tibetan ༡༠༠༠༢༢༤ Khmer ១០០០២២៤ Lao ໑໐໐໐໒໒໔ Burmese ၁၀၀၀၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000224, here are decompositions:

  • 11 + 1000213 = 1000224
  • 13 + 1000211 = 1000224
  • 31 + 1000193 = 1000224
  • 37 + 1000187 = 1000224
  • 41 + 1000183 = 1000224
  • 53 + 1000171 = 1000224
  • 73 + 1000151 = 1000224
  • 103 + 1000121 = 1000224

Showing the first eight; more decompositions exist.

Hex color
#0F4320
RGB(15, 67, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.32.

Address
0.15.67.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.32

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 1,000,224 and was likely granted around 1911.

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