213444320 has 48 divisors (see below), whose sum is σ = 505174320. Its totient is φ = 85223424.

The previous prime is 213444317. The next prime is 213444337. The reversal of 213444320 is 23444312.

213444320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213444320³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136664 + ... + 138216.

It is an arithmetic number, because the mean of its divisors is an integer number (10524465).

Almost surely, 2^213444320 is an apocalyptic number.

213444320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213444320 is an abundant number, since it is smaller than the sum of its proper divisors (291730000).

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

213444320 is a wasteful number, since it uses less digits than its factorization.

213444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 213444320 is about 14609.7337415848. The cubic root of 213444320 is about 597.6242349465.

Adding to 213444320 its reverse (23444312), we get a palindrome (236888632).

The spelling of 213444320 in words is "two hundred thirteen million, four hundred forty-four thousand, three hundred twenty".