213204400220 has 48 divisors (see below), whose sum is σ = 511718204928. Its totient is φ = 73094702400.

The previous prime is 213204400169. The next prime is 213204400223. The reversal of 213204400220 is 22004402312.

It is a super-3 number, since 3×213204400220³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213204400192 and 213204400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213204400223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3910145 + ... + 3964295.

It is an arithmetic number, because the mean of its divisors is an integer number (10660795936).

Almost surely, 2^213204400220 is an apocalyptic number.

213204400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213204400220 is an abundant number, since it is smaller than the sum of its proper divisors (298513804708).

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

213204400220 is a wasteful number, since it uses less digits than its factorization.

213204400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82290 (or 82288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 213204400220 its reverse (22004402312), we get a palindrome (235208802532).

The spelling of 213204400220 in words is "two hundred thirteen billion, two hundred four million, four hundred thousand, two hundred twenty".