201322220 has 72 divisors (see below), whose sum is σ = 485043552. Its totient is φ = 70005760.

The previous prime is 201322193. The next prime is 201322223. The reversal of 201322220 is 22223102.

201322220 = 5013² + 5014² + ... + 5020².

It is a junction number, because it is equal to n+sod(n) for n = 201322195 and 201322204.

It is not an unprimeable number, because it can be changed into a prime (201322223) 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, 53852 + ... + 57468.

It is an arithmetic number, because the mean of its divisors is an integer number (6736716).

Almost surely, 2^201322220 is an apocalyptic number.

201322220 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 201322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242521776).

201322220 is an abundant number, since it is smaller than the sum of its proper divisors (283721332).

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

201322220 is a wasteful number, since it uses less digits than its factorization.

201322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3658 counting only the distinct ones).

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

The square root of 201322220 is about 14188.8061513293. The cubic root of 201322220 is about 586.0894496277.

Adding to 201322220 its reverse (22223102), we get a palindrome (223545322).

The spelling of 201322220 in words is "two hundred one million, three hundred twenty-two thousand, two hundred twenty".