213206220 has 144 divisors (see below), whose sum is σ = 703073280. Its totient is φ = 52099200.

The previous prime is 213206219. The next prime is 213206243. The reversal of 213206220 is 22602312.

213206220 is a `hidden beast` number, since 21 + 3 + 20 + 622 + 0 = 666.

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 = 213206193 and 213206202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105015 + ... + 107025.

Almost surely, 2^213206220 is an apocalyptic number.

213206220 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 213206220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351536640).

213206220 is an abundant number, since it is smaller than the sum of its proper divisors (489867060).

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

213206220 is a wasteful number, since it uses less digits than its factorization.

213206220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2071 counting only the distinct ones).

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

The square root of 213206220 is about 14601.5827909169. The cubic root of 213206220 is about 597.4019329841.

Adding to 213206220 its reverse (22602312), we get a palindrome (235808532).

The spelling of 213206220 in words is "two hundred thirteen million, two hundred six thousand, two hundred twenty".