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216334965 = 35711187303
BaseRepresentation
bin11001110010100…
…00001001110101
3120002001221210010
430321100021311
5420340204330
633244450433
75234550120
oct1471201165
9502057703
10216334965
1110112a730
1260549a19
1335a86472
1420a353b7
1513ed43b0
hexce50275

216334965 has 32 divisors (see below), whose sum is σ = 431548416. Its totient is φ = 89904960.

The previous prime is 216334961. The next prime is 216335003. The reversal of 216334965 is 569433612.

It is not a de Polignac number, because 216334965 - 22 = 216334961 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216334961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92497 + ... + 94806.

It is an arithmetic number, because the mean of its divisors is an integer number (13485888).

Almost surely, 2216334965 is an apocalyptic number.

It is an amenable number.

216334965 is a deficient number, since it is larger than the sum of its proper divisors (215213451).

216334965 is a wasteful number, since it uses less digits than its factorization.

216334965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187329.

The product of its digits is 116640, while the sum is 39.

The square root of 216334965 is about 14708.3297828135. The cubic root of 216334965 is about 600.3099925912.

It can be divided in two parts, 2163 and 34965, that added together give a triangular number (37128 = T272).

The spelling of 216334965 in words is "two hundred sixteen million, three hundred thirty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 187303 561909 936515 1311121 2060333 2809545 3933363 6180999 6555605 10301665 14422331 19666815 30904995 43266993 72111655 216334965