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214281 = 3229821
BaseRepresentation
bin110100010100001001
3101212221100
4310110021
523324111
64332013
71551504
oct642411
9355840
10214281
11136aa1
12a4009
13766c2
145813b
1543756
hex34509

214281 has 12 divisors (see below), whose sum is σ = 320580. Its totient is φ = 137760.

The previous prime is 214259. The next prime is 214283. The reversal of 214281 is 182412.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 129600 = 291^2 + 360^2 .

It is not a de Polignac number, because 214281 - 215 = 181513 is a prime.

It is a super-2 number, since 2×2142812 = 91832693922, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214281.

It is not an unprimeable number, because it can be changed into a prime (214283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (26715).

2214281 is an apocalyptic number.

It is an amenable number.

214281 is a deficient number, since it is larger than the sum of its proper divisors (106299).

214281 is a wasteful number, since it uses less digits than its factorization.

214281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 853 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 214281 is about 462.9049578477. The cubic root of 214281 is about 59.8404092228.

Adding to 214281 its reverse (182412), we get a palindrome (396693).

The spelling of 214281 in words is "two hundred fourteen thousand, two hundred eighty-one".

Divisors: 1 3 9 29 87 261 821 2463 7389 23809 71427 214281