322022000 has 80 divisors (see below), whose sum is σ = 792136800. Its totient is φ = 126579200.

The previous prime is 322021993. The next prime is 322022023. The reversal of 322022000 is 220223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116636 + ... + 119364.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^322022000 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 322022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396068400).

322022000 is an abundant number, since it is smaller than the sum of its proper divisors (470114800).

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

322022000 is a wasteful number, since it uses less digits than its factorization.

322022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 322022000 is about 17944.9714404900. The cubic root of 322022000 is about 685.4280096340.

Adding to 322022000 its reverse (220223), we get a palindrome (322242223).

The spelling of 322022000 in words is "three hundred twenty-two million, twenty-two thousand".