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2000320212 = 2231122389673
BaseRepresentation
bin111011100111010…
…0111011011010100
312011101221210110210
41313032213123110
513044040221322
6530253445420
7100366304232
oct16716473324
95141853423
102000320212
11937146200
12479aa0870
1325b55a037
1414d93d952
15ba92770c
hex773a76d4

2000320212 has 144 divisors (see below), whose sum is σ = 5421548160. Its totient is φ = 572436480.

The previous prime is 2000320193. The next prime is 2000320219. The reversal of 2000320212 is 2120230002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000320219) 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 47 ways as a sum of consecutive naturals, for example, 2971908 + ... + 2972580.

It is an arithmetic number, because the mean of its divisors is an integer number (37649640).

Almost surely, 22000320212 is an apocalyptic number.

2000320212 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 2000320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710774080).

2000320212 is an abundant number, since it is smaller than the sum of its proper divisors (3421227948).

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

2000320212 is a wasteful number, since it uses less digits than its factorization.

2000320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000320212 is about 44724.9394857053. The cubic root of 2000320212 is about 1259.9882866132.

Adding to 2000320212 its reverse (2120230002), we get a palindrome (4120550214).

The spelling of 2000320212 in words is "two billion, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 89 92 121 132 138 178 242 253 267 276 356 363 484 506 534 673 726 759 979 1012 1068 1346 1452 1518 1958 2019 2047 2692 2783 2937 3036 3916 4038 4094 5566 5874 6141 7403 8076 8188 8349 10769 11132 11748 12282 14806 15479 16698 21538 22209 22517 24564 29612 30958 32307 33396 43076 44418 45034 46437 59897 61916 64614 67551 81433 88836 90068 92874 119794 129228 135102 162866 170269 179691 185748 239588 244299 247687 270204 325732 340538 359382 488598 495374 510807 658867 681076 718764 743061 977196 990748 1021614 1317734 1377631 1486122 1872959 1976601 2043228 2635468 2755262 2972244 3745918 3953202 4132893 5510524 5618877 7247537 7491836 7906404 8265786 11237754 14495074 15153941 16531572 21742611 22475508 28990148 30307882 43485222 45461823 60615764 86970444 90923646 166693351 181847292 333386702 500080053 666773404 1000160106 2000320212