10223248023000 has 384 divisors, whose sum is σ = 34715952311040. Its totient is φ = 2713499520000.

The previous prime is 10223248022899. The next prime is 10223248023007. The reversal of 10223248023000 is 32084232201.

10223248023000 is a `hidden beast` number, since 10 + 22 + 324 + 8 + 0 + 2 + 300 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223248023007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1788216142 + ... + 1788221858.

It is an arithmetic number, because the mean of its divisors is an integer number (90406125810).

Almost surely, 2^{10223248023000} is an apocalyptic number.

10223248023000 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 10223248023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357976155520).

10223248023000 is an abundant number, since it is smaller than the sum of its proper divisors (24492704288040).

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

10223248023000 is a wasteful number, since it uses less digits than its factorization.

10223248023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10223248023000 in words is "ten trillion, two hundred twenty-three billion, two hundred forty-eight million, twenty-three thousand".