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1,022,224

1,022,224 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.).

1,022,224 (one million twenty-two thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 9,127. Its proper divisors sum to 1,241,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9910.

Abundant Number Gapful Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
4,222,201
Recamán's sequence
a(371,879) = 1,022,224
Square (n²)
1,044,941,906,176
Cube (n³)
1,068,164,695,098,855,424
Divisor count
20
σ(n) — sum of divisors
2,263,744
φ(n) — Euler's totient
438,048
Sum of prime factors
9,142

Primality

Prime factorization: 2 4 × 7 × 9127

Nearest primes: 1,022,209 (−15) · 1,022,237 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 9127 · 18254 · 36508 · 63889 · 73016 · 127778 · 146032 · 255556 · 511112 (half) · 1022224
Aliquot sum (sum of proper divisors): 1,241,520
Factor pairs (a × b = 1,022,224)
1 × 1022224
2 × 511112
4 × 255556
7 × 146032
8 × 127778
14 × 73016
16 × 63889
28 × 36508
56 × 18254
112 × 9127
First multiples
1,022,224 · 2,044,448 (double) · 3,066,672 · 4,088,896 · 5,111,120 · 6,133,344 · 7,155,568 · 8,177,792 · 9,200,016 · 10,222,240

Sums & aliquot sequence

As consecutive integers: 146,029 + 146,030 + … + 146,035 31,929 + 31,930 + … + 31,960 4,452 + 4,453 + … + 4,675
Aliquot sequence: 1,022,224 1,241,520 3,162,960 7,979,184 14,351,852 11,546,020 13,710,428 10,282,828 7,745,532 10,583,940 19,192,380 34,876,740 68,342,460 123,016,596 164,022,156 251,796,156 336,776,724 — unresolved within range

Continued fraction of √n

√1,022,224 = [1011; (19, 1, 1, 1, 2, 2, 168, 11, 2, 2, 1, 1, 3, 1, 1, 224, 8, 1, 1, 3, 2, 2, 1, 1, …)]

Representations

In words
one million twenty-two thousand two hundred twenty-four
Ordinal
1022224th
Binary
11111001100100010000
Octal
3714420
Hexadecimal
0xF9910
Base64
D5kQ
One's complement
4,293,945,071 (32-bit)
Scientific notation
1.022224 × 10⁶
As a duration
1,022,224 s = 11 days, 19 hours, 57 minutes, 4 seconds
In other bases
ternary (3) 1220221020011
quaternary (4) 3321210100
quinary (5) 230202344
senary (6) 33524304
septenary (7) 11455150
nonary (9) 1827204
undecimal (11) 639015
duodecimal (12) 413694
tridecimal (13) 29a388
tetradecimal (14) 1c8760
pentadecimal (15) 152d34

As an angle

1,022,224° = 2,839 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零二萬二千二百二十四
Chinese (financial)
壹佰零貳萬貳仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٢٢٢٢٤ Devanagari १०२२२२४ Bengali ১০২২২২৪ Tamil ௧௦௨௨௨௨௪ Thai ๑๐๒๒๒๒๔ Tibetan ༡༠༢༢༢༢༤ Khmer ១០២២២២៤ Lao ໑໐໒໒໒໒໔ Burmese ၁၀၂၂၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022224, here are decompositions:

  • 23 + 1022201 = 1022224
  • 41 + 1022183 = 1022224
  • 83 + 1022141 = 1022224
  • 101 + 1022123 = 1022224
  • 191 + 1022033 = 1022224
  • 251 + 1021973 = 1022224
  • 263 + 1021961 = 1022224
  • 317 + 1021907 = 1022224

Showing the first eight; more decompositions exist.

Hex color
#0F9910
RGB(15, 153, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.153.16.

Address
0.15.153.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.153.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 2224 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2224-02-01 (DMMYYYY (Euro, single-digit day))
  • 2224-10-02 (MMDYYYY (US, single-digit day))
  • 2224-02-10 (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 1,022,224 and was likely granted around 1912.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.