10220323200 has 192 divisors, whose sum is σ = 33882600720. Its totient is φ = 2707660800.

The previous prime is 10220323199. The next prime is 10220323273. The reversal of 10220323200 is 232302201.

It is a tau number, because it is divible by the number of its divisors (192).

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 10220323200.

It is a congruent number.

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, 1503810 + ... + 1510590.

Almost surely, 2^10220323200 is an apocalyptic number.

10220323200 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 10220323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941300360).

10220323200 is an abundant number, since it is smaller than the sum of its proper divisors (23662277520).

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

10220323200 is a wasteful number, since it uses less digits than its factorization.

10220323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10220323200 its reverse (232302201), we get a palindrome (10452625401).

The spelling of 10220323200 in words is "ten billion, two hundred twenty million, three hundred twenty-three thousand, two hundred".