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20050212 = 22372134361
BaseRepresentation
bin100110001111…
…1000100100100
31101201122201110
41030133010210
520113101322
61553425020
7332265300
oct114370444
941648643
1020050212
1110355026
12686b170
134200240
14293cd00
151b60c0c
hex131f124

20050212 has 144 divisors (see below), whose sum is σ = 60954432. Its totient is φ = 5080320.

The previous prime is 20050207. The next prime is 20050213. The reversal of 20050212 is 21205002.

It is a super-2 number, since 2×200502122 = 804022002489888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20050213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328662 + ... + 328722.

Almost surely, 220050212 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 20050212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477216).

20050212 is an abundant number, since it is smaller than the sum of its proper divisors (40904220).

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

20050212 is a wasteful number, since it uses less digits than its factorization.

20050212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20050212 is about 4477.7463081331. The cubic root of 20050212 is about 271.6687323834.

Adding to 20050212 its reverse (21205002), we get a palindrome (41255214).

The spelling of 20050212 in words is "twenty million, fifty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 49 52 61 78 84 86 91 98 122 129 147 156 172 182 183 196 244 258 273 294 301 364 366 427 516 546 559 588 602 637 732 793 854 903 1092 1118 1204 1274 1281 1586 1677 1708 1806 1911 2107 2236 2379 2548 2562 2623 2989 3172 3354 3612 3822 3913 4214 4758 5124 5246 5551 5978 6321 6708 7644 7826 7869 8428 8967 9516 10492 11102 11739 11956 12642 15652 15738 16653 17934 18361 22204 23478 25284 27391 31476 33306 34099 35868 36722 38857 46956 54782 55083 66612 68198 73444 77714 82173 102297 109564 110166 116571 128527 136396 155428 164346 204594 220332 233142 238693 257054 328692 385581 409188 466284 477386 514108 716079 771162 954772 1432158 1542324 1670851 2864316 3341702 5012553 6683404 10025106 20050212