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214856965 = 51737531289
BaseRepresentation
bin11001100111001…
…11010100000101
3112222021212100101
430303213110011
5420000410330
633153044101
75216153101
oct1463472405
9488255311
10214856965
11100310244
125bb56631
13356897cb
142076c901
1513ce14ca
hexcce7505

214856965 has 32 divisors (see below), whose sum is σ = 285884640. Its totient is φ = 154312704.

The previous prime is 214856951. The next prime is 214856977. The reversal of 214856965 is 569658412.

214856965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 146582+1.

It can be written as a sum of positive squares in 16 ways, for example, as 7986276 + 206870689 = 2826^2 + 14383^2 .

It is a cyclic number.

It is not a de Polignac number, because 214856965 - 223 = 206468357 is a prime.

It is a super-2 number, since 2×2148569652 = 92327030818022450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166041 + ... + 167329.

It is an arithmetic number, because the mean of its divisors is an integer number (8933895).

Almost surely, 2214856965 is an apocalyptic number.

It is an amenable number.

214856965 is a deficient number, since it is larger than the sum of its proper divisors (71027675).

214856965 is a wasteful number, since it uses less digits than its factorization.

214856965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401.

The product of its digits is 518400, while the sum is 46.

The square root of 214856965 is about 14658.0000341111. Note that the first 4 decimals coincide. The cubic root of 214856965 is about 598.9397618546.

The spelling of 214856965 in words is "two hundred fourteen million, eight hundred fifty-six thousand, nine hundred sixty-five".

Divisors: 1 5 17 37 53 85 185 265 629 901 1289 1961 3145 4505 6445 9805 21913 33337 47693 68317 109565 166685 238465 341585 810781 1161389 2527729 4053905 5806945 12638645 42971393 214856965