210233023000 has 768 divisors, whose sum is σ = 678589067520. Its totient is φ = 59304960000.

The previous prime is 210233022973. The next prime is 210233023027. The reversal of 210233023000 is 320332012.

210233023000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210233022973) and next prime (210233023027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 671670844 + ... + 671671156.

It is an arithmetic number, because the mean of its divisors is an integer number (883579515).

Almost surely, 2^210233023000 is an apocalyptic number.

210233023000 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 210233023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339294533760).

210233023000 is an abundant number, since it is smaller than the sum of its proper divisors (468356044520).

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

210233023000 is a wasteful number, since it uses less digits than its factorization.

210233023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 210233023000 its reverse (320332012), we get a palindrome (210553355012).

The spelling of 210233023000 in words is "two hundred ten billion, two hundred thirty-three million, twenty-three thousand".