10220224220 has 144 divisors (see below), whose sum is σ = 23656419360. Its totient is φ = 3694817280.

The previous prime is 10220224177. The next prime is 10220224253. The reversal of 10220224220 is 2242202201.

10220224220 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 (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114833936 + ... + 114834024.

It is an arithmetic number, because the mean of its divisors is an integer number (164280690).

Almost surely, 2^10220224220 is an apocalyptic number.

10220224220 is a gapful number since it is divisible by the number (10) 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 10220224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828209680).

10220224220 is an abundant number, since it is smaller than the sum of its proper divisors (13436195140).

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

10220224220 is a wasteful number, since it uses less digits than its factorization.

10220224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10220224220 its reverse (2242202201), we get a palindrome (12462426421).

The spelling of 10220224220 in words is "ten billion, two hundred twenty million, two hundred twenty-four thousand, two hundred twenty".