213022320 has 320 divisors, whose sum is σ = 814233600. Its totient is φ = 45010944.

The previous prime is 213022253. The next prime is 213022321. The reversal of 213022320 is 23220312.

213022320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 213022320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429606 + ... + 1429754.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^213022320 is an apocalyptic number.

213022320 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 213022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

213022320 is an abundant number, since it is smaller than the sum of its proper divisors (601211280).

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

213022320 is a wasteful number, since it uses less digits than its factorization.

213022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

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

The square root of 213022320 is about 14595.2841698954. The cubic root of 213022320 is about 597.2301215212.

Adding to 213022320 its reverse (23220312), we get a palindrome (236242632).

The spelling of 213022320 in words is "two hundred thirteen million, twenty-two thousand, three hundred twenty".