23200003200 has 768 divisors, whose sum is σ = 90822758400. Its totient is φ = 5142528000.

The previous prime is 23200003171. The next prime is 23200003259. The reversal of 23200003200 is 230000232.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 62198214 + ... + 62198586.

It is an arithmetic number, because the mean of its divisors is an integer number (118258800).

Almost surely, 2^23200003200 is an apocalyptic number.

23200003200 is a gapful number since it is divisible by the number (20) 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 23200003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45411379200).

23200003200 is an abundant number, since it is smaller than the sum of its proper divisors (67622755200).

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

23200003200 is a wasteful number, since it uses less digits than its factorization.

23200003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 23200003200 its reverse (230000232), we get a palindrome (23430003432).

The spelling of 23200003200 in words is "twenty-three billion, two hundred million, three thousand, two hundred".