208220 has 24 divisors (see below), whose sum is σ = 453600. Its totient is φ = 80192.

The previous prime is 208217. The next prime is 208223. The reversal of 208220 is 22802.

It is an interprime number because it is at equal distance from previous prime (208217) and next prime (208223).

It is a junction number, because it is equal to n+sod(n) for n = 208195 and 208204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁰⁸²²⁰ is an apocalyptic number.

208220 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 208220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

208220 is an abundant number, since it is smaller than the sum of its proper divisors (245380).

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

208220 is a wasteful number, since it uses less digits than its factorization.

208220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 208220 is about 456.3112972522. The cubic root of 208220 is about 59.2708034030.

The spelling of 208220 in words is "two hundred eight thousand, two hundred twenty".