10233203200 has 120 divisors (see below), whose sum is σ = 27658810080. Its totient is φ = 3721113600.

The previous prime is 10233203147. The next prime is 10233203209. The reversal of 10233203200 is 230233201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10233203209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104461 + ... + 177139.

It is an arithmetic number, because the mean of its divisors is an integer number (230490084).

Almost surely, 2^10233203200 is an apocalyptic number.

10233203200 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 10233203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829405040).

10233203200 is an abundant number, since it is smaller than the sum of its proper divisors (17425606880).

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

10233203200 is an equidigital number, since it uses as much as digits as its factorization.

10233203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72718 (or 72697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10233203200 its reverse (230233201), we get a palindrome (10463436401).

The spelling of 10233203200 in words is "ten billion, two hundred thirty-three million, two hundred three thousand, two hundred".