200220022000 has 80 divisors (see below), whose sum is σ = 485284011264. Its totient is φ = 79897440000.

The previous prime is 200220021977. The next prime is 200220022003. The reversal of 200220022000 is 220022002.

200220022000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (200220022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723105 + ... + 960895.

Almost surely, 2^200220022000 is an apocalyptic number.

200220022000 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 200220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242642005632).

200220022000 is an abundant number, since it is smaller than the sum of its proper divisors (285063989264).

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

200220022000 is a wasteful number, since it uses less digits than its factorization.

200220022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238235 (or 238219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 200220022000 its reverse (220022002), we get a palindrome (200440044002).

The spelling of 200220022000 in words is "two hundred billion, two hundred twenty million, twenty-two thousand".