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17214 = 2319151
BaseRepresentation
bin100001100111110
3212121120
410030332
51022324
6211410
7101121
oct41476
925546
1017214
1111a2a
129b66
137ab2
1463b8
155179
hex433e

17214 has 16 divisors (see below), whose sum is σ = 36480. Its totient is φ = 5400.

The previous prime is 17209. The next prime is 17231. The reversal of 17214 is 41271.

Adding to 17214 its reverse (41271), we get a palindrome (58485).

It can be divided in two parts, 17 and 214, that added together give a triangular number (231 = T21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 17193 and 17202.

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 17214.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

217214 is an apocalyptic number.

17214 is an abundant number, since it is smaller than the sum of its proper divisors (19266).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240).

17214 is a wasteful number, since it uses less digits than its factorization.

17214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

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

The square root of 17214 is about 131.2021341290. The cubic root of 17214 is about 25.8202593112.

The spelling of 17214 in words is "seventeen thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 19 38 57 114 151 302 453 906 2869 5738 8607 17214