322420100 has 36 divisors (see below), whose sum is σ = 703733604. Its totient is φ = 128215680.

The previous prime is 322420097. The next prime is 322420117. The reversal of 322420100 is 1024223.

322420100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22714756 + 299705344 = 4766^2 + 17312^2 .

322420100 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7982 + ... + 26618.

Almost surely, 2^322420100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351866802).

322420100 is an abundant number, since it is smaller than the sum of its proper divisors (381313504).

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

322420100 is a wasteful number, since it uses less digits than its factorization.

322420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18824 (or 18817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 322420100 is about 17956.0602583083. The cubic root of 322420100 is about 685.7103469929.

Adding to 322420100 its reverse (1024223), we get a palindrome (323444323).

The spelling of 322420100 in words is "three hundred twenty-two million, four hundred twenty thousand, one hundred".