200220022002 has 288 divisors, whose sum is σ = 565190633664. Its totient is φ = 46702656000.

The previous prime is 200220021977. The next prime is 200220022003.

200220022002 is nontrivially palindromic in base 10.

200220022002 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

200220022002 is a modest number, since divided by 20022002 gives 2002 as remainder.

It is not an unprimeable number, because it can be changed into a prime (200220022003) 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 143 ways as a sum of consecutive naturals, for example, 20217252 + ... + 20227152.

It is an arithmetic number, because the mean of its divisors is an integer number (1962467478).

Almost surely, 2^200220022002 is an apocalyptic number.

200220022002 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 200220022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282595316832).

200220022002 is an abundant number, since it is smaller than the sum of its proper divisors (364970611662).

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

200220022002 is a wasteful number, since it uses less digits than its factorization.

200220022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9974 counting only the distinct ones).

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

It can be divided in two parts, 20022002 and 2002, that multiplied together give a palindrome (40084048004).

The spelling of 200220022002 in words is "two hundred billion, two hundred twenty million, twenty-two thousand, two".