Search a number
-
+
213347682 = 236414383
BaseRepresentation
bin11001011011101…
…10110101100010
3112212110012000000
430231312311202
5414104111212
633100440430
75200265622
oct1455666542
9485405000
10213347682
11aa47a2a9
125b549116
133527b842
1420498882
1513ae41dc
hexcb76d62

213347682 has 112 divisors (see below), whose sum is σ = 509005728. Its totient is φ = 66951360.

The previous prime is 213347669. The next prime is 213347699. The reversal of 213347682 is 286743312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2570413 + ... + 2570495.

It is an arithmetic number, because the mean of its divisors is an integer number (4544694).

Almost surely, 2213347682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213347682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254502864).

213347682 is an abundant number, since it is smaller than the sum of its proper divisors (295658046).

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

213347682 is an equidigital number, since it uses as much as digits as its factorization.

213347682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 213347682 is about 14606.4260515706. The cubic root of 213347682 is about 597.5340288621.

The spelling of 213347682 in words is "two hundred thirteen million, three hundred forty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 41 43 54 81 82 83 86 123 129 162 166 243 246 249 258 369 387 486 498 729 738 747 774 1107 1161 1458 1494 1763 2214 2241 2322 3321 3403 3483 3526 3569 4482 5289 6642 6723 6806 6966 7138 9963 10209 10449 10578 10707 13446 15867 19926 20169 20418 20898 21414 29889 30627 31347 31734 32121 40338 47601 59778 60507 61254 62694 64242 91881 95202 96363 121014 142803 146329 183762 192726 275643 285606 289089 292658 428409 438987 551286 578178 826929 856818 867267 877974 1285227 1316961 1653858 1734534 2480787 2570454 2601801 2633922 3950883 4961574 5203602 7901766 11852649 23705298 35557947 71115894 106673841 213347682