10220344200 has 144 divisors (see below), whose sum is σ = 37443697200. Its totient is φ = 2477654400.

The previous prime is 10220344153. The next prime is 10220344237. The reversal of 10220344200 is 244302201.

10220344200 is a `hidden beast` number, since 1 + 0 + 220 + 3 + 442 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238290 + ... + 277889.

It is an arithmetic number, because the mean of its divisors is an integer number (260025675).

Almost surely, 2^10220344200 is an apocalyptic number.

10220344200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220344200 is an abundant number, since it is smaller than the sum of its proper divisors (27223353000).

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

10220344200 is a wasteful number, since it uses less digits than its factorization.

10220344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516212 (or 516200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10220344200 its reverse (244302201), we get a palindrome (10464646401).

It can be divided in two parts, 102 and 20344200, that added together give a palindrome (20344302).

The spelling of 10220344200 in words is "ten billion, two hundred twenty million, three hundred forty-four thousand, two hundred".