Search a number
-
+
17216 = 26269
BaseRepresentation
bin100001101000000
3212121122
410031000
51022331
6211412
7101123
oct41500
925548
1017216
1111a31
129b68
137ab4
1463ba
15517b
hex4340

17216 has 14 divisors (see below), whose sum is σ = 34290. Its totient is φ = 8576.

The previous prime is 17209. The next prime is 17231. The reversal of 17216 is 61271.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 6400 = 104^2 + 80^2 .

It is a junction number, because it is equal to n+sod(n) for n = 17194 and 17203.

It is a congruent number.

It is an unprimeable number.

17216 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 as a sum of consecutive naturals, namely, 71 + ... + 198.

217216 is an apocalyptic number.

17216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

17216 is a deficient number, since it is larger than the sum of its proper divisors (17074).

17216 is an equidigital number, since it uses as much as digits as its factorization.

17216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 17216 is about 131.2097557349. The cubic root of 17216 is about 25.8212592438.

Adding to 17216 its reverse (61271), we get a palindrome (78487).

The spelling of 17216 in words is "seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 269 538 1076 2152 4304 8608 17216