Search a number
-
+
216340047 = 32731123277
BaseRepresentation
bin11001110010100…
…01011001001111
3120002002012202100
430321101121033
5420340340142
633244530143
75234601000
oct1471213117
9502065670
10216340047
11101133530
1260550953
1335a88881
1420a371a7
1513ed5b4c
hexce5164f

216340047 has 96 divisors (see below), whose sum is σ = 416332800. Its totient is φ = 107110080.

The previous prime is 216340031. The next prime is 216340049. The reversal of 216340047 is 740043612.

216340047 is a `hidden beast` number, since 21 + 634 + 0 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 216340047 - 24 = 216340031 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 216340047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216340049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780873 + ... + 781149.

It is an arithmetic number, because the mean of its divisors is an integer number (4336800).

Almost surely, 2216340047 is an apocalyptic number.

216340047 is a deficient number, since it is larger than the sum of its proper divisors (199992753).

216340047 is a wasteful number, since it uses less digits than its factorization.

216340047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 216340047 is about 14708.5025410475. The cubic root of 216340047 is about 600.3146932514.

Adding to 216340047 its reverse (740043612), we get a palindrome (956383659).

The spelling of 216340047 in words is "two hundred sixteen million, three hundred forty thousand, forty-seven".

Divisors: 1 3 7 9 11 21 23 33 49 63 69 77 99 147 161 207 231 253 277 343 441 483 539 693 759 831 1029 1127 1449 1617 1771 1939 2277 2493 3047 3087 3381 3773 4851 5313 5817 6371 7889 9141 10143 11319 12397 13573 15939 17451 19113 21329 23667 27423 33957 37191 40719 44597 57339 63987 70081 71001 86779 95011 111573 122157 133791 149303 191961 210243 260337 285033 312179 401373 447909 490567 630729 781011 855099 936537 1045121 1343727 1471701 2185253 2809611 3135363 3433969 4415103 6555759 9406089 10301907 19667277 24037783 30905721 72113349 216340047