215168 has 24 divisors (see below), whose sum is σ = 439365. Its totient is φ = 104960.

The previous prime is 215161. The next prime is 215179. The reversal of 215168 is 861512.

It can be divided in two parts, 215 and 168, that added together give a palindrome (383).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 61504 = 392^2 + 248^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=328.

It is a Duffinian number.

Its product of digits (480) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (215161) by changing a digit.

215168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 2 ways as a sum of consecutive naturals, for example, 5228 + ... + 5268.

215168 is a Friedman number, since it can be written as 8*(165-1)^2, using all its digits and the basic arithmetic operations.

2^{215168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215168

215168 is an abundant number, since it is smaller than the sum of its proper divisors (224197).

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

215168 is an frugal number, since it uses more digits than its factorization.

215168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 215168 is about 463.8620484584. The cubic root of 215168 is about 59.9228638390.

The spelling of 215168 in words is "two hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 1681 2624 3362 5248 6724 13448 26896 53792 107584 215168

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