10000233320 has 256 divisors, whose sum is σ = 28839628800. Its totient is φ = 3030773760.

The previous prime is 10000233307. The next prime is 10000233367. The reversal of 10000233320 is 2333200001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10000233295 and 10000233304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20534117 + ... + 20534603.

It is an arithmetic number, because the mean of its divisors is an integer number (112654800).

Almost surely, 2^10000233320 is an apocalyptic number.

10000233320 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 10000233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419814400).

10000233320 is an abundant number, since it is smaller than the sum of its proper divisors (18839395480).

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

10000233320 is a wasteful number, since it uses less digits than its factorization.

10000233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10000233320 its reverse (2333200001), we get a palindrome (12333433321).

The spelling of 10000233320 in words is "ten billion, two hundred thirty-three thousand, three hundred twenty".