200422202224002 has 192 divisors, whose sum is σ = 468379068917760. Its totient is φ = 56967984944640.

The previous prime is 200422202223959. The next prime is 200422202224019.

200422202224002 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10125903418 + ... + 10125923210.

It is an arithmetic number, because the mean of its divisors is an integer number (2439474317280).

Almost surely, 2^{200422202224002} is an apocalyptic number.

200422202224002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200422202224002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234189534458880).

200422202224002 is an abundant number, since it is smaller than the sum of its proper divisors (267956866693758).

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

200422202224002 is a wasteful number, since it uses less digits than its factorization.

200422202224002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27069 (or 27058 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 20042220 and 2224002, that added together give a palindrome (22266222).

The spelling of 200422202224002 in words is "two hundred trillion, four hundred twenty-two billion, two hundred two million, two hundred twenty-four thousand, two".