10233002304 has 336 divisors, whose sum is σ = 35678717568. Its totient is φ = 2737373184.

The previous prime is 10233002279. The next prime is 10233002317. The reversal of 10233002304 is 40320033201.

10233002304 is a `hidden beast` number, since 102 + 330 + 0 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23099107 + ... + 23099549.

Almost surely, 2^10233002304 is an apocalyptic number.

10233002304 is a gapful number since it is divisible by the number (14) 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 10233002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839358784).

10233002304 is an abundant number, since it is smaller than the sum of its proper divisors (25445715264).

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

10233002304 is a wasteful number, since it uses less digits than its factorization.

10233002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10233002304 its reverse (40320033201), we get a palindrome (50553035505).

The spelling of 10233002304 in words is "ten billion, two hundred thirty-three million, two thousand, three hundred four".