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163216 = 241012
BaseRepresentation
bin100111110110010000
322021220001
4213312100
520210331
63255344
71246564
oct476620
9267801
10163216
11101699
127a554
13593a1
14436a4
1533561
hex27d90

163216 has 15 divisors (see below), whose sum is σ = 319393. Its totient is φ = 80800.

The previous prime is 163211. The next prime is 163223. The reversal of 163216 is 612361.

The square root of 163216 is 404.

It is a perfect power (a square), and thus also a powerful number.

163216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 6400 = 396^2 + 80^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 163193 and 163202.

It is not an unprimeable number, because it can be changed into a prime (163211) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1566 + ... + 1666.

163216 is a Friedman number, since it can be written as (61+(6+1)^3)^2, using all its digits and the basic arithmetic operations.

2163216 is an apocalyptic number.

163216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

163216 is the 404-th square number.

It is an amenable number.

163216 is a deficient number, since it is larger than the sum of its proper divisors (156177).

163216 is an equidigital number, since it uses as much as digits as its factorization.

163216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The cubic root of 163216 is about 54.6496741422.

The spelling of 163216 in words is "one hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 101 202 404 808 1616 10201 20402 40804 81608 163216