220022002002 has 128 divisors (see below), whose sum is σ = 516381143040. Its totient is φ = 61757834240.

The previous prime is 220022001967. The next prime is 220022002009. The reversal of 220022002002 is 200200220022.

It is not an unprimeable number, because it can be changed into a prime (220022002009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25046503 + ... + 25055285.

It is an arithmetic number, because the mean of its divisors is an integer number (4034227680).

Almost surely, 2^220022002002 is an apocalyptic number.

220022002002 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 220022002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258190571520).

220022002002 is an abundant number, since it is smaller than the sum of its proper divisors (296359141038).

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

220022002002 is a wasteful number, since it uses less digits than its factorization.

220022002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168.

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

Adding to 220022002002 its reverse (200200220022), we get a palindrome (420222222024).

The spelling of 220022002002 in words is "two hundred twenty billion, twenty-two million, two thousand, two".