248216 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 110880.

The previous prime is 248203. The next prime is 248231. The reversal of 248216 is 612842.

248216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248216² = 123222365312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 248191 and 248200.

It is a congruent number.

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, 3461 + ... + 3531.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²⁴⁸²¹⁶ is an apocalyptic number.

It is an amenable number.

248216 is an abundant number, since it is smaller than the sum of its proper divisors (270184).

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

248216 is a wasteful number, since it uses less digits than its factorization.

248216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 248216 is about 498.2128059374. The cubic root of 248216 is about 62.8458480296.

It can be divided in two parts, 248 and 216, that added together give a palindrome (464).

The spelling of 248216 in words is "two hundred forty-eight thousand, two hundred sixteen".