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200002212 = 2232172959191
BaseRepresentation
bin10111110101111…
…00101010100100
3111221100011110100
423322330222210
5402200032322
631502424100
74645663554
oct1372745244
9457304410
10200002212
11a2994693
1256b92030
1332588307
141c7c3164
1512859dac
hexbebcaa4

200002212 has 144 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 59243520.

The previous prime is 200002193. The next prime is 200002213. The reversal of 200002212 is 212200002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200002194 and 200002203.

It is not an unprimeable number, because it can be changed into a prime (200002213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047037 + ... + 1047227.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2200002212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

200002212 is an abundant number, since it is smaller than the sum of its proper divisors (366090588).

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

200002212 is a wasteful number, since it uses less digits than its factorization.

200002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200002212 is about 14142.2138295247. The cubic root of 200002212 is about 584.8057036104.

Adding to 200002212 its reverse (212200002), we get a palindrome (412202214).

It can be divided in two parts, 200002 and 212, that multiplied together give a palindrome (42400424).

The spelling of 200002212 in words is "two hundred million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 59 68 87 102 116 118 153 174 177 191 204 236 261 306 348 354 382 493 522 531 573 612 708 764 986 1003 1044 1062 1146 1479 1711 1719 1972 2006 2124 2292 2958 3009 3247 3422 3438 4012 4437 5133 5539 5916 6018 6494 6844 6876 8874 9027 9741 10266 11078 11269 12036 12988 15399 16617 17748 18054 19482 20532 22156 22538 29087 29223 30798 33234 33807 36108 38964 45076 49851 58174 58446 61596 66468 67614 87261 94163 99702 101421 116348 116892 135228 174522 188326 191573 199404 202842 261783 282489 326801 349044 376652 383146 405684 523566 564978 574719 653602 766292 847467 980403 1047132 1129956 1149438 1307204 1694934 1724157 1960806 2298876 2941209 3389868 3448314 3921612 5555617 5882418 6896628 11111234 11764836 16666851 22222468 33333702 50000553 66667404 100001106 200002212