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222001100200100 = 2252132233947194017
BaseRepresentation
bin110010011110100010101000…
…101101111001100010100100
31002010001002122101011101000002
4302132202220231321202210
5213044231223122400400
62104053521505440432
764522023134363114
oct6236425055714244
91063032571141002
10222001100200100
1164811157562851
1220a95373340118
1396b47c9a27a50
143cb6ca68c3044
151a9eb587c7ed5
hexc9e8a8b798a4

222001100200100 has 144 divisors (see below), whose sum is σ = 521260666848768. Its totient is φ = 81580965212160.

The previous prime is 222001100200081. The next prime is 222001100200127. The reversal of 222001100200100 is 1002001100222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144138292 + ... + 1144332308.

Almost surely, 2222001100200100 is an apocalyptic number.

222001100200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222001100200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260630333424384).

222001100200100 is an abundant number, since it is smaller than the sum of its proper divisors (299259566648668).

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

222001100200100 is a wasteful number, since it uses less digits than its factorization.

222001100200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198214 (or 198207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 222001100200100 its reverse (1002001100222), we get a palindrome (223003101300322).

The spelling of 222001100200100 in words is "two hundred twenty-two trillion, one billion, one hundred million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 223 260 325 446 650 892 1115 1300 2230 2899 3947 4460 5575 5798 7894 11150 11596 14495 15788 19735 22300 28990 39470 51311 57980 72475 78940 98675 102622 144950 194017 197350 205244 256555 289900 388034 394700 513110 776068 880181 970085 1026220 1282775 1760362 1940170 2522221 2565550 3520724 3880340 4400905 4850425 5044442 5131100 8801810 9700850 10088884 11442353 12611105 17603620 19401700 22004525 22884706 25222210 43265791 44009050 45769412 50444420 57211765 63055525 86531582 88018100 114423530 126111050 173063164 216328955 228847060 252222100 286058825 432657910 562455283 572117650 765785099 865315820 1081644775 1124910566 1144235300 1531570198 2163289550 2249821132 2812276415 3063140396 3828925495 4326579100 5624552830 7657850990 9955206287 11249105660 14061382075 15315701980 19144627475 19910412574 28122764150 38289254950 39820825148 49776031435 56245528300 76578509900 99552062870 170770077077 199104125740 248880157175 341540154154 497760314350 683080308308 853850385385 995520628700 1707700770770 2220011002001 3415401541540 4269251926925 4440022004002 8538503853850 8880044008004 11100055010005 17077007707700 22200110020010 44400220040020 55500275050025 111000550100050 222001100200100