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20002332532 = 227213174310739
BaseRepresentation
bin10010101000001110…
…110101111101110100
31220121222220202212211
4102220032311331310
5311431044120112
613104451223204
71305451010200
oct225016657564
956558822784
1020002332532
118534882536
123a628a7b04
131b6a013530
14d7a731b00
157c107c0a7
hex4a83b5f74

20002332532 has 144 divisors (see below), whose sum is σ = 47514962880. Its totient is φ = 7273663488.

The previous prime is 20002332527. The next prime is 20002332533. The reversal of 20002332532 is 23523320002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002332533) 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, 1857219 + ... + 1867957.

It is an arithmetic number, because the mean of its divisors is an integer number (329965020).

Almost surely, 220002332532 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 20002332532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757481440).

20002332532 is an abundant number, since it is smaller than the sum of its proper divisors (27512630348).

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

20002332532 is a wasteful number, since it uses less digits than its factorization.

20002332532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10821 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 20002332532 its reverse (23523320002), we get a palindrome (43525652534).

The spelling of 20002332532 in words is "twenty billion, two million, three hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 43 49 52 68 86 91 98 119 172 182 196 221 238 301 364 442 476 559 602 637 731 833 884 1118 1204 1274 1462 1547 1666 2107 2236 2548 2924 3094 3332 3913 4214 5117 6188 7826 8428 9503 10234 10739 10829 15652 19006 20468 21478 21658 27391 35819 38012 42956 43316 54782 66521 71638 75173 109564 133042 139607 143276 150346 182563 266084 279214 300692 365126 461777 465647 526211 558428 730252 923554 931294 977249 1052422 1277941 1847108 1862588 1954498 2104844 2373319 2555882 3232439 3908996 4746638 5111764 6003101 6464878 6840743 7850209 8945587 9493276 12006202 12929756 13681486 15700418 16613233 17891174 22627073 24012404 27362972 31400836 33226466 35782348 42021707 45254146 54951463 66452932 84043414 90508292 102052717 109902926 116292631 168086828 204105434 219805852 232585262 294151949 384660241 408210868 465170524 588303898 714369019 769320482 1176607796 1428738038 1538640964 2857476076 5000583133 10001166266 20002332532