220434224010 has 256 divisors, whose sum is σ = 729523888128. Its totient is φ = 41138150400.

The previous prime is 220434223957. The next prime is 220434224011. The reversal of 220434224010 is 10422434022.

It is a super-4 number, since 4×220434224010⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (220434224011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1011915 + ... + 1210305.

It is an arithmetic number, because the mean of its divisors is an integer number (2849702688).

Almost surely, 2^220434224010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220434224010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364761944064).

220434224010 is an abundant number, since it is smaller than the sum of its proper divisors (509089664118).

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

220434224010 is a wasteful number, since it uses less digits than its factorization.

220434224010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198469.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220434224010 its reverse (10422434022), we get a palindrome (230856658032).

It can be divided in two parts, 220434 and 224010, that added together give a palindrome (444444).

The spelling of 220434224010 in words is "two hundred twenty billion, four hundred thirty-four million, two hundred twenty-four thousand, ten".