Search a number
-
+
2202122001200 = 2452114710648559
BaseRepresentation
bin100000000010111000101…
…100110001101100110000
321210112001200001100212112
4200002320230301230300
5242034421213014300
64403350232544452
7315045431111342
oct40027054615460
97715050040775
102202122001200
11779a07507990
122b6952252128
1312c8753a5654
1478824707292
153c4378b2e35
hex200b8b31b30

2202122001200 has 120 divisors (see below), whose sum is σ = 5894361308160. Its totient is φ = 783733868800.

The previous prime is 2202122001199. The next prime is 2202122001227. The reversal of 2202122001200 is 21002212022.

It is a super-4 number, since 4×22021220012004 (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5117480 + ... + 5531079.

It is an arithmetic number, because the mean of its divisors is an integer number (49119677568).

Almost surely, 22202122001200 is an apocalyptic number.

2202122001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202122001200 is an abundant number, since it is smaller than the sum of its proper divisors (3692239306960).

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

2202122001200 is a wasteful number, since it uses less digits than its factorization.

2202122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648635 (or 10648624 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202122001200 its reverse (21002212022), we get a palindrome (2223124213222).

The spelling of 2202122001200 in words is "two trillion, two hundred two billion, one hundred twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 176 188 200 220 235 275 376 400 440 470 517 550 752 880 940 1034 1100 1175 1880 2068 2200 2350 2585 3760 4136 4400 4700 5170 8272 9400 10340 12925 18800 20680 25850 41360 51700 103400 206800 10648559 21297118 42594236 53242795 85188472 106485590 117134149 170376944 212971180 234268298 266213975 425942360 468536596 500482273 532427950 585670745 851884720 937073192 1000964546 1064855900 1171341490 1874146384 2001929092 2129711800 2342682980 2502411365 2928353725 4003858184 4259423600 4685365960 5004822730 5505305003 5856707450 8007716368 9370731920 10009645460 11010610006 11713414900 12512056825 20019290920 22021220012 23426829800 25024113650 27526525015 40038581840 44042440024 46853659600 50048227300 55053050030 88084880048 100096454600 110106100060 137632625075 200192909200 220212200120 275265250150 440424400240 550530500300 1101061000600 2202122001200