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217014 = 2375167
BaseRepresentation
bin110100111110110110
3102000200120
4310332312
523421024
64352410
71562460
oct647666
9360616
10217014
11139056
12a5706
1377a15
1459130
1544479
hex34fb6

217014 has 16 divisors (see below), whose sum is σ = 496128. Its totient is φ = 61992.

The previous prime is 217003. The next prime is 217027. The reversal of 217014 is 410712.

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 216984 and 217002.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217014.

It is an unprimeable number.

217014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2542 + ... + 2625.

It is an arithmetic number, because the mean of its divisors is an integer number (31008).

2217014 is an apocalyptic number.

217014 is an abundant number, since it is smaller than the sum of its proper divisors (279114).

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

217014 is a wasteful number, since it uses less digits than its factorization.

217014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 217014 is about 465.8476145694. The cubic root of 217014 is about 60.0937423521.

Adding to 217014 its reverse (410712), we get a palindrome (627726).

The spelling of 217014 in words is "two hundred seventeen thousand, fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 21 42 5167 10334 15501 31002 36169 72338 108507 217014