201322000 has 80 divisors (see below), whose sum is σ = 531108864. Its totient is φ = 73200000.

The previous prime is 201321997. The next prime is 201322039. The reversal of 201322000 is 223102.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17425 + ... + 26575.

Almost surely, 2^201322000 is an apocalyptic number.

201322000 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 201322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265554432).

201322000 is an abundant number, since it is smaller than the sum of its proper divisors (329786864).

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

201322000 is a wasteful number, since it uses less digits than its factorization.

201322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201322000 is about 14188.7983987369. The cubic root of 201322000 is about 586.0892361396.

Adding to 201322000 its reverse (223102), we get a palindrome (201545102).

The spelling of 201322000 in words is "two hundred one million, three hundred twenty-two thousand".