213122322 has 48 divisors (see below), whose sum is σ = 532988352. Its totient is φ = 60285600.

The previous prime is 213122321. The next prime is 213122339. The reversal of 213122322 is 223221312.

213122322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213122322² = 90842248269343368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213122295 and 213122304.

It is not an unprimeable number, because it can be changed into a prime (213122321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4353 + ... + 21099.

It is an arithmetic number, because the mean of its divisors is an integer number (11103924).

Almost surely, 2^213122322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266494176).

213122322 is an abundant number, since it is smaller than the sum of its proper divisors (319866030).

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

213122322 is a wasteful number, since it uses less digits than its factorization.

213122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16863 (or 16860 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 213122322 is about 14598.7096005092. The cubic root of 213122322 is about 597.3235622200.

Adding to 213122322 its reverse (223221312), we get a palindrome (436343634).

It can be divided in two parts, 213122 and 322, that added together give a square (213444 = 462²).

The spelling of 213122322 in words is "two hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-two".