Search a number
-
+
22220112120000 = 26354185167601
BaseRepresentation
bin1010000110101100001011…
…11000111100100011000000
32220200012222211002121002120
411003112011320330203000
510403023242200320000
6115131440101444240
74452231043462224
oct503260570744300
986605884077076
1022220112120000
1170975510184a3
1225aa4a6710680
13c5246983a1a2
1456b65dd3c784
15287ee1cee6a0
hex143585e3c8c0

22220112120000 has 140 divisors (see below), whose sum is σ = 73464875758296. Its totient is φ = 5925363200000.

The previous prime is 22220112119983. The next prime is 22220112120043. The reversal of 22220112120000 is 2121102222.

It is a super-3 number, since 3×222201121200003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92463801 + ... + 92703800.

Almost surely, 222220112120000 is an apocalyptic number.

22220112120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22220112120000 is an abundant number, since it is smaller than the sum of its proper divisors (51244763638296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22220112120000 is an equidigital number, since it uses as much as digits as its factorization.

22220112120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185167636 (or 185167611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22220112120000 its reverse (2121102222), we get a palindrome (22222233222222).

The spelling of 22220112120000 in words is "twenty-two trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 185167601 370335202 555502803 740670404 925838005 1111005606 1481340808 1851676010 2222011212 2777514015 2962681616 3703352020 4444022424 4629190025 5555028030 5925363232 7406704040 8888044848 9258380050 11110056060 11850726464 13887570075 14813408080 17776089696 18516760100 22220112120 23145950125 27775140150 29626816160 35552179392 37033520200 44440224240 46291900250 55550280300 59253632320 69437850375 74067040400 88880448480 92583800500 111100560600 115729750625 138875700750 148134080800 177760896960 185167601000 222201121200 231459501250 277751401500 296268161600 347189251875 370335202000 444402242400 462919002500 555502803000 694378503750 740670404000 888804484800 925838005000 1111005606000 1388757007500 1481340808000 1851676010000 2222011212000 2777514015000 3703352020000 4444022424000 5555028030000 7406704040000 11110056060000 22220112120000