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200201222200200 = 233521325666823359
BaseRepresentation
bin101101100001010011111010…
…101110111001101110001000
3222020212001100101200221112220
4231201103322232321232020
5202220044100340401300
61545443101035334040
760112026626641434
oct5541237256715610
9866761311627486
10200201222200200
1158876952773661
121a5544082b1320
138792b81876230
143761b101739c4
151822a5e986da0
hexb614fabb9b88

200201222200200 has 96 divisors (see below), whose sum is σ = 668364080294400. Its totient is φ = 49280300847360.

The previous prime is 200201222200141. The next prime is 200201222200249. The reversal of 200201222200200 is 2002222102002.

It is a super-3 number, since 3×2002012222002003 (a number of 44 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200201222200200.

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, 12833403880 + ... + 12833419479.

It is an arithmetic number, because the mean of its divisors is an integer number (6962125836400).

Almost surely, 2200201222200200 is an apocalyptic number.

200201222200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201222200200 is an abundant number, since it is smaller than the sum of its proper divisors (468162858094200).

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

200201222200200 is a wasteful number, since it uses less digits than its factorization.

200201222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25666823391 (or 25666823382 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200201222200200 its reverse (2002222102002), we get a palindrome (202203444302202).

The spelling of 200201222200200 in words is "two hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 25666823359 51333646718 77000470077 102667293436 128334116795 154000940154 205334586872 256668233590 308001880308 333668703667 385002350385 513336467180 616003760616 641670583975 667337407334 770004700770 1001006111001 1026672934360 1283341167950 1334674814668 1540009401540 1668343518335 1925011751925 2002012222002 2566682335900 2669349629336 3080018803080 3336687036670 3850023503850 4004024444004 5005030555005 5133364671800 6673374073340 7700047007700 8008048888008 8341717591675 10010061110010 13346748146680 15400094015400 16683435183350 20020122220020 25025152775025 33366870366700 40040244440040 50050305550050 66733740733400 100100611100100 200201222200200