213233320 has 48 divisors (see below), whose sum is σ = 485947260. Its totient is φ = 84209664.

The previous prime is 213233303. The next prime is 213233323. The reversal of 213233320 is 23332312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17960644 + 195272676 = 4238^2 + 13974^2 .

It is not an unprimeable number, because it can be changed into a prime (213233323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316504 + ... + 317176.

Almost surely, 2^213233320 is an apocalyptic number.

213233320 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 213233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242973630).

213233320 is an abundant number, since it is smaller than the sum of its proper divisors (272713940).

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

213233320 is an equidigital number, since it uses as much as digits as its factorization.

213233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 213233320 is about 14602.5107430195. The cubic root of 213233320 is about 597.4272432315.

Adding to 213233320 its reverse (23332312), we get a palindrome (236565632).

The spelling of 213233320 in words is "two hundred thirteen million, two hundred thirty-three thousand, three hundred twenty".