322242000 has 160 divisors (see below), whose sum is σ = 1063920000. Its totient is φ = 83865600.

The previous prime is 322241999. The next prime is 322242013. The reversal of 322242000 is 242223.

322242000 is digitally balanced in base 3, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257376 + ... + 258624.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2^322242000 is an apocalyptic number.

322242000 is a gapful number since it is divisible by the number (30) 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 322242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531960000).

322242000 is an abundant number, since it is smaller than the sum of its proper divisors (741678000).

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

322242000 is a wasteful number, since it uses less digits than its factorization.

322242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 322242000 is about 17951.1002448318. The cubic root of 322242000 is about 685.5840650537.

Adding to 322242000 its reverse (242223), we get a palindrome (322484223).

The spelling of 322242000 in words is "three hundred twenty-two million, two hundred forty-two thousand".