213442320 has 320 divisors, whose sum is σ = 844945920. Its totient is φ = 43352064.

The previous prime is 213442319. The next prime is 213442343. The reversal of 213442320 is 23244312.

213442320 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633192 + ... + 633528.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2^213442320 is an apocalyptic number.

213442320 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 213442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422472960).

213442320 is an abundant number, since it is smaller than the sum of its proper divisors (631503600).

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

213442320 is a wasteful number, since it uses less digits than its factorization.

213442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 213442320 is about 14609.6652939073. The cubic root of 213442320 is about 597.6223683360.

Adding to 213442320 its reverse (23244312), we get a palindrome (236686632).

The spelling of 213442320 in words is "two hundred thirteen million, four hundred forty-two thousand, three hundred twenty".