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2000210212 = 2271113598467
BaseRepresentation
bin111011100111000…
…1100100100100100
312011101202012120201
41313032030210210
513044023211322
6530251240244
7100365335440
oct16716144444
95141665521
102000210212
119370805a0
12479a49084
1325b51bc50
1414d911820
15ba904d27
hex7738c924

2000210212 has 96 divisors (see below), whose sum is σ = 4780016640. Its totient is φ = 707080320.

The previous prime is 2000210207. The next prime is 2000210213. The reversal of 2000210212 is 2120120002.

It is not an unprimeable number, because it can be changed into a prime (2000210213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232003 + ... + 240469.

It is an arithmetic number, because the mean of its divisors is an integer number (49791840).

Almost surely, 22000210212 is an apocalyptic number.

2000210212 is a gapful number since it is divisible by the number (22) 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 2000210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390008320).

2000210212 is an abundant number, since it is smaller than the sum of its proper divisors (2779806428).

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

2000210212 is a wasteful number, since it uses less digits than its factorization.

2000210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2000210212 is about 44723.7097298513. The cubic root of 2000210212 is about 1259.9651901024.

Adding to 2000210212 its reverse (2120120002), we get a palindrome (4120330214).

It can be divided in two parts, 2000 and 210212, that added together give a palindrome (212212).

The spelling of 2000210212 in words is "two billion, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 59 77 91 118 143 154 182 236 286 308 364 413 572 649 767 826 1001 1298 1534 1652 2002 2596 3068 4004 4543 5369 8437 8467 9086 10738 16874 16934 18172 21476 33748 33868 59059 59269 93137 110071 118118 118538 186274 220142 236236 237076 372548 440284 499553 651959 770497 999106 1210781 1303918 1540994 1998212 2421562 2607836 3081988 3496871 4843124 5495083 6494189 6993742 8475467 10990166 12988378 13987484 16950934 21980332 25976756 33901868 38465581 45459323 71436079 76931162 90918646 142872158 153862324 181837292 285744316 500052553 1000105106 2000210212