10233230000224 has 288 divisors, whose sum is σ = 26688597901056. Its totient is φ = 3812118266880.

The previous prime is 10233230000221. The next prime is 10233230000233. The reversal of 10233230000224 is 42200003233201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10233230000195 and 10233230000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233230000221) 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, 1839513667 + ... + 1839519229.

It is an arithmetic number, because the mean of its divisors is an integer number (92668742712).

Almost surely, 2^{10233230000224} is an apocalyptic number.

10233230000224 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 10233230000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344298950528).

10233230000224 is an abundant number, since it is smaller than the sum of its proper divisors (16455367900832).

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

10233230000224 is a wasteful number, since it uses less digits than its factorization.

10233230000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10233230000224 its reverse (42200003233201), we get a palindrome (52433233233425).

The spelling of 10233230000224 in words is "ten trillion, two hundred thirty-three billion, two hundred thirty million, two hundred twenty-four", and thus it is an aban number.