23003300320 has 384 divisors, whose sum is σ = 73632125952. Its totient is φ = 6612756480.

The previous prime is 23003300311. The next prime is 23003300329. The reversal of 23003300320 is 2300330032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23003300311) and next prime (23003300329).

It is a super-2 number, since 2×23003300320² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23003300294 and 23003300303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003300329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19378767 + ... + 19379953.

It is an arithmetic number, because the mean of its divisors is an integer number (191750328).

Almost surely, 2^23003300320 is an apocalyptic number.

23003300320 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 23003300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36816062976).

23003300320 is an abundant number, since it is smaller than the sum of its proper divisors (50628825632).

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

23003300320 is a wasteful number, since it uses less digits than its factorization.

23003300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 23003300320 its reverse (2300330032), we get a palindrome (25303630352).

It can be divided in two parts, 23003 and 300320, that added together give a palindrome (323323).

The spelling of 23003300320 in words is "twenty-three billion, three million, three hundred thousand, three hundred twenty".