200222022000 has 2560 divisors, whose sum is σ = 960274538496. Its totient is φ = 34504704000.

The previous prime is 200222021977. The next prime is 200222022001. The reversal of 200222022000 is 220222002.

200222022000 is digitally balanced in base 2, 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200222022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3777773974 + ... + 3777774026.

Almost surely, 2^200222022000 is an apocalyptic number.

200222022000 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 200222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480137269248).

200222022000 is an abundant number, since it is smaller than the sum of its proper divisors (760052516496).

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

200222022000 is a wasteful number, since it uses less digits than its factorization.

200222022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 200222022000 its reverse (220222002), we get a palindrome (200442244002).

The spelling of 200222022000 in words is "two hundred billion, two hundred twenty-two million, twenty-two thousand".