Live analysis

33,481,152

33,481,152 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.).

33,481,152 (thirty-three million four hundred eighty-one thousand one hundred fifty-two) is an even 8-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 37 × 1,571. Its proper divisors sum to 65,142,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEE1C0.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

33,481,140 33,481,141 33,481,142 33,481,143 33,481,144 33,481,145 33,481,146 33,481,147 33,481,148 33,481,149 33,481,150 33,481,151 33,481,152 33,481,153 33,481,154 33,481,155 33,481,156 33,481,157 33,481,158 33,481,159 33,481,160 33,481,161 33,481,162 33,481,163 33,481,164

less more

Properties

Parity: Even
Digit count: 8
Digit sum: 27
Digit product: 2,880
Digital root: 9
Palindrome: No
Bit width: 25 bits
Reversed: 25,118,433
Square (n²): 1,120,987,539,247,104
Divisor count: 84
σ(n) — sum of divisors: 98,624,136
φ(n) — Euler's totient: 10,851,840
Sum of prime factors: 1,626

Primality

Prime factorization: 2 ⁶ × 3 ² × 37 × 1571

Nearest primes: 33,481,117 (−35) · 33,481,159 (+7)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 37 · 48 · 64 · 72 · 74 · 96 · 111 · 144 · 148 · 192 · 222 · 288 · 296 · 333 · 444 · 576 · 592 · 666 · 888 · 1184 · 1332 · 1571 · 1776 · 2368 · 2664 · 3142 · 3552 · 4713 · 5328 · 6284 · 7104 · 9426 · 10656 · 12568 · 14139 · 18852 · 21312 · 25136 · 28278 · 37704 · 50272 · 56556 · 58127 · 75408 · 100544 · 113112 · 116254 · 150816 · 174381 · 226224 · 232508 · 301632 · 348762 · 452448 · 465016 · 523143 · 697524 · 904896 · 930032 · 1046286 · 1395048 · 1860064 · 2092572 · 2790096 · 3720128 · 4185144 · 5580192 · 8370288 · 11160384 · 16740576 (half) · 33481152

Aliquot sum (sum of proper divisors): 65,142,984

Factor pairs (a × b = 33,481,152)

1 × 33481152

2 × 16740576

3 × 11160384

4 × 8370288

6 × 5580192

8 × 4185144

9 × 3720128

12 × 2790096

16 × 2092572

18 × 1860064

24 × 1395048

32 × 1046286

36 × 930032

37 × 904896

48 × 697524

64 × 523143

72 × 465016

74 × 452448

96 × 348762

111 × 301632

144 × 232508

148 × 226224

192 × 174381

222 × 150816

288 × 116254

296 × 113112

333 × 100544

444 × 75408

576 × 58127

592 × 56556

666 × 50272

888 × 37704

1184 × 28278

1332 × 25136

1571 × 21312

1776 × 18852

2368 × 14139

2664 × 12568

3142 × 10656

3552 × 9426

4713 × 7104

5328 × 6284

First multiples

33,481,152 · 66,962,304 (double) · 100,443,456 · 133,924,608 · 167,405,760 · 200,886,912 · 234,368,064 · 267,849,216 · 301,330,368 · 334,811,520

Sums & aliquot sequence

As consecutive integers: 11,160,383 + 11,160,384 + 11,160,385 3,720,124 + 3,720,125 + … + 3,720,132 904,878 + 904,879 + … + 904,914 301,577 + 301,578 + … + 301,687

Aliquot sequence: 33,481,152 → 65,142,984 → 97,926,936 → 161,292,504 → 254,948,136 → 382,813,464 → 661,223,976 → 1,355,974,104 → 2,035,567,896 → 3,586,998,504 → 5,933,460,696 → 9,545,133,864 → 18,654,720,216 — keeps growing

Continued fraction of √n

√33,481,152 = [5786; (3, 2, 4, 3, 31, 1, 12, 2, 3, 1, 2, 2, 16, 68, 2, 2, 2, 8, 1, 5, 1, 1, 1, 1, …)]

Representations

In words: thirty-three million four hundred eighty-one thousand one hundred fifty-two
Ordinal: 33481152nd
Binary: 1111111101110000111000000
Octal: 177560700
Hexadecimal: 0x1FEE1C0
Base64: Af7hwA==
One's complement: 4,261,486,143 (32-bit)
Scientific notation: 3.3481152 × 10⁷
As a duration: 33,481,152 s = 1 year, 22 days, 12 hours, 19 minutes, 12 seconds

In other bases

ternary (3) 2100000000111200

quaternary (4) 1333232013000

quinary (5) 32032344102

senary (6) 3153341200

septenary (7) 554404455

nonary (9) 70000450

undecimal (11) 17998981

duodecimal (12) b267800

tridecimal (13) 6c23643

tetradecimal (14) 463782c

pentadecimal (15) 2e1551c

Palindromic in base 7

As an angle

33,481,152° = 93,003 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Chinese: 三千三百四十八萬一千一百五十二
Chinese (financial): 參仟參佰肆拾捌萬壹仟壹佰伍拾貳

In other modern scripts

Eastern Arabic ٣٣٤٨١١٥٢ Devanagari ३३४८११५२ Bengali ৩৩৪৮১১৫২ Tamil ௩௩௪௮௧௧௫௨ Thai ๓๓๔๘๑๑๕๒ Tibetan ༣༣༤༨༡༡༥༢ Khmer ៣៣៤៨១១៥២ Lao ໓໓໔໘໑໑໕໒ Burmese ၃၃၄၈၁၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33481152, here are decompositions:

53 + 33481099 = 33481152
59 + 33481093 = 33481152
71 + 33481081 = 33481152
79 + 33481073 = 33481152
139 + 33481013 = 33481152
149 + 33481003 = 33481152
181 + 33480971 = 33481152
223 + 33480929 = 33481152

Showing the first eight; more decompositions exist.

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 1.254.225.192.

Address: 1.254.225.192
Class: public
IPv4-mapped IPv6: ::ffff:1.254.225.192

Public, routable address (assignable to a host on the internet).