Search a number
-
+
200212023312 = 24327467425317
BaseRepresentation
bin1011101001110110010…
…0010000100000010000
3201010210010020120210200
42322131210100200100
511240013234221222
6231550502255200
720315304055530
oct2723544204020
9633703216720
10200212023312
1177a00516484
1232976727500
1315b59225c62
1499943134c0
15531bda5eac
hex2e9d910810

200212023312 has 120 divisors (see below), whose sum is σ = 641733408576. Its totient is φ = 57080809728.

The previous prime is 200212023307. The next prime is 200212023329. The reversal of 200212023312 is 213320212002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258078 + ... + 683394.

Almost surely, 2200212023312 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 200212023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320866704288).

200212023312 is an abundant number, since it is smaller than the sum of its proper divisors (441521385264).

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

200212023312 is a wasteful number, since it uses less digits than its factorization.

200212023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425805 (or 425796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200212023312 its reverse (213320212002), we get a palindrome (413532235314).

The spelling of 200212023312 in words is "two hundred billion, two hundred twelve million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 467 504 934 1008 1401 1868 2802 3269 3736 4203 5604 6538 7472 8406 9807 11208 13076 16812 19614 22416 26152 29421 33624 39228 52304 58842 67248 78456 117684 156912 235368 425317 470736 850634 1275951 1701268 2551902 2977219 3402536 3827853 5103804 5954438 6805072 7655706 8931657 10207608 11908876 15311412 17863314 20415216 23817752 26794971 30622824 35726628 47635504 53589942 61245648 71453256 107179884 142906512 198623039 214359768 397246078 428719536 595869117 794492156 1191738234 1390361273 1588984312 1787607351 2383476468 2780722546 3177968624 3575214702 4171083819 4766952936 5561445092 7150429404 8342167638 9533905872 11122890184 12513251457 14300858808 16684335276 22245780368 25026502914 28601717616 33368670552 50053005828 66737341104 100106011656 200212023312