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222201100112200 = 235211210190909541
BaseRepresentation
bin110010100001011100111001…
…101001000001000101001000
31002010202012212201021120220221
4302201130321221001011020
5213111020323112042300
62104325435353555424
764542333254522626
oct6241347151010510
91063665781246827
10222201100112200
1164888a59273a00
1220b0808aa15b74
1396ca621015bc1
143cc283a980516
151aa4e61c3131a
hexca1739a41148

222201100112200 has 144 divisors (see below), whose sum is σ = 573474663748980. Its totient is φ = 80000395200000.

The previous prime is 222201100112171. The next prime is 222201100112203. The reversal of 222201100112200 is 2211001102222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 203408580331044 + 18792519781156 = 14262138^2 + 4335034^2 .

It is not an unprimeable number, because it can be changed into a prime (222201100112203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 43010571 + ... + 47898970.

Almost surely, 2222201100112200 is an apocalyptic number.

222201100112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201100112200 is an abundant number, since it is smaller than the sum of its proper divisors (351273563636780).

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

222201100112200 is a wasteful number, since it uses less digits than its factorization.

222201100112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90909680 (or 90909660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222201100112200 its reverse (2211001102222), we get a palindrome (224412101214422).

The spelling of 222201100112200 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5555 6050 8888 10100 11110 12100 12221 20200 22220 24200 24442 27775 44440 48884 55550 61105 97768 111100 122210 222200 244420 305525 488840 611050 1222100 2444200 90909541 181819082 363638164 454547705 727276328 909095410 1000004951 1818190820 2000009902 2272738525 3636381640 4000019804 4545477050 5000024755 8000039608 9090954100 9181863641 10000049510 11000054461 18181908200 18363727282 20000099020 22000108922 25000123775 36727454564 40000198040 44000217844 45909318205 50000247550 55000272305 73454909128 88000435688 91818636410 100000495100 101000500051 110000544610 183637272820 200000990200 202001000102 220001089220 229546591025 275001361525 367274545640 404002000204 440002178440 459093182050 505002500255 550002723050 808004000408 918186364100 1010005000510 1100005446100 1111005500561 1836372728200 2020010001020 2200010892200 2222011001122 2525012501275 4040020002040 4444022002244 5050025002550 5555027502805 8888044004488 10100050005100 11110055005610 20200100010200 22220110011220 27775137514025 44440220022440 55550275028050 111100550056100 222201100112200