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216338712 = 23319677397
BaseRepresentation
bin11001110010100…
…01000100011000
3120002002010220220
430321101010120
5420340314322
633244520040
75234564052
oct1471210430
9502063826
10216338712
11101132527
1260550020
1335a88095
1420a368d2
1513ed555c
hexce51118

216338712 has 128 divisors (see below), whose sum is σ = 591763200. Its totient is φ = 65691648.

The previous prime is 216338701. The next prime is 216338747. The reversal of 216338712 is 217833612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230248 + ... + 2230344.

It is an arithmetic number, because the mean of its divisors is an integer number (4623150).

Almost surely, 2216338712 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 216338712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295881600).

216338712 is an abundant number, since it is smaller than the sum of its proper divisors (375424488).

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

216338712 is a wasteful number, since it uses less digits than its factorization.

216338712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 216338712 is about 14708.4571590633. The cubic root of 216338712 is about 600.3134584334.

The spelling of 216338712 in words is "two hundred sixteen million, three hundred thirty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 73 76 97 114 134 146 152 194 201 219 228 268 291 292 388 402 438 456 536 582 584 776 804 876 1164 1273 1387 1608 1752 1843 2328 2546 2774 3686 3819 4161 4891 5092 5529 5548 6499 7081 7372 7638 8322 9782 10184 11058 11096 12998 14162 14673 14744 15276 16644 19497 19564 21243 22116 25996 28324 29346 30552 33288 38994 39128 42486 44232 51992 56648 58692 77988 84972 92929 117384 123481 134539 155976 169944 185858 246962 269078 278787 370443 371716 403617 474427 493924 538156 557574 740886 743432 807234 948854 987848 1076312 1115148 1423281 1481772 1614468 1897708 2230296 2846562 2963544 3228936 3795416 5693124 9014113 11386248 18028226 27042339 36056452 54084678 72112904 108169356 216338712