10220224200 has 96 divisors (see below), whose sum is σ = 31821475200. Its totient is φ = 2713455360.

The previous prime is 10220224177. The next prime is 10220224253. The reversal of 10220224200 is 242202201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220224200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100209 + ... + 174591.

It is an arithmetic number, because the mean of its divisors is an integer number (331473700).

Almost surely, 2^10220224200 is an apocalyptic number.

10220224200 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 10220224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910737600).

10220224200 is an abundant number, since it is smaller than the sum of its proper divisors (21601251000).

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

10220224200 is a wasteful number, since it uses less digits than its factorization.

10220224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74631 (or 74622 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10220224200 its reverse (242202201), we get a palindrome (10462426401).

The spelling of 10220224200 in words is "ten billion, two hundred twenty million, two hundred twenty-four thousand, two hundred".