213220320 has 48 divisors (see below), whose sum is σ = 671645520. Its totient is φ = 56858624.

The previous prime is 213220253. The next prime is 213220321. The reversal of 213220320 is 23022312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213220320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220321) 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, 221625 + ... + 222584.

It is an arithmetic number, because the mean of its divisors is an integer number (13992615).

Almost surely, 2^213220320 is an apocalyptic number.

213220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213220320 is an abundant number, since it is smaller than the sum of its proper divisors (458425200).

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

213220320 is a wasteful number, since it uses less digits than its factorization.

213220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444227 (or 444219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213220320 is about 14602.0656073036. The cubic root of 213220320 is about 597.4151020520.

Adding to 213220320 its reverse (23022312), we get a palindrome (236242632).

The spelling of 213220320 in words is "two hundred thirteen million, two hundred twenty thousand, three hundred twenty".