10233933600 has 288 divisors, whose sum is σ = 37325486016. Its totient is φ = 2413670400.

The previous prime is 10233933557. The next prime is 10233933601. The reversal of 10233933600 is 633933201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10233933601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971562 + ... + 982038.

It is an arithmetic number, because the mean of its divisors is an integer number (129602382).

Almost surely, 2^10233933600 is an apocalyptic number.

10233933600 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 10233933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662743008).

10233933600 is an abundant number, since it is smaller than the sum of its proper divisors (27091552416).

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

10233933600 is a wasteful number, since it uses less digits than its factorization.

10233933600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The spelling of 10233933600 in words is "ten billion, two hundred thirty-three million, nine hundred thirty-three thousand, six hundred".