206226 has 40 divisors (see below), whose sum is σ = 493680. Its totient is φ = 64152.

The previous prime is 206221. The next prime is 206233. The reversal of 206226 is 622602.

Added to its reverse (622602) it gives a triangular number (828828 = T₁₂₈₇).

206226 = 19² + 20² + ... + 85².

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

It is a junction number, because it is equal to n+sod(n) for n = 206199 and 206208.

It is not an unprimeable number, because it can be changed into a prime (206221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3045 + ... + 3111.

It is an arithmetic number, because the mean of its divisors is an integer number (12342).

2²⁰⁶²²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246840).

206226 is an abundant number, since it is smaller than the sum of its proper divisors (287454).

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

206226 is a wasteful number, since it uses less digits than its factorization.

206226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206226 is about 454.1211292155. The cubic root of 206226 is about 59.0809957191.

Adding to 206226 its reverse (622602), we get a palindrome (828828).

The spelling of 206226 in words is "two hundred six thousand, two hundred twenty-six".