248220 has 72 divisors (see below), whose sum is σ = 864864. Its totient is φ = 56448.

The previous prime is 248203. The next prime is 248231. The reversal of 248220 is 22842.

It is a super-2 number, since 2×248220² = 123226336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 248193 and 248202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2²⁴⁸²²⁰ is an apocalyptic number.

248220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

248220 is an abundant number, since it is smaller than the sum of its proper divisors (616644).

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

248220 is a wasteful number, since it uses less digits than its factorization.

248220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 248220 is about 498.2168202701. The cubic root of 248220 is about 62.8461856146.

The spelling of 248220 in words is "two hundred forty-eight thousand, two hundred twenty".