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169216 = 28661
BaseRepresentation
bin101001010100000000
322121010021
4221110000
520403331
63343224
71303225
oct512400
9277107
10169216
11106153
1281b14
135c038
144594c
1535211
hex29500

169216 has 18 divisors (see below), whose sum is σ = 338282. Its totient is φ = 84480.

The previous prime is 169199. The next prime is 169217. The reversal of 169216 is 612961.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 9216 = 400^2 + 96^2 .

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 75 + ... + 586.

169216 is a Friedman number, since it can be written as 661*2^(9-1), using all its digits and the basic arithmetic operations.

2169216 is an apocalyptic number.

169216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

169216 is a deficient number, since it is larger than the sum of its proper divisors (169066).

169216 is an frugal number, since it uses more digits than its factorization.

169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 169216 is about 411.3587242298. The cubic root of 169216 is about 55.3112926524.

It can be divided in two parts, 1692 and 16, that multiplied together give a palindrome (27072).

The spelling of 169216 in words is "one hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 661 1322 2644 5288 10576 21152 42304 84608 169216