230305218000 has 640 divisors, whose sum is σ = 884502388224. Its totient is φ = 50817024000.

The previous prime is 230305217957. The next prime is 230305218023. The reversal of 230305218000 is 812503032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62632162 + ... + 62635838.

Almost surely, 2^230305218000 is an apocalyptic number.

230305218000 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 230305218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442251194112).

230305218000 is an abundant number, since it is smaller than the sum of its proper divisors (654197170224).

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

230305218000 is a wasteful number, since it uses less digits than its factorization.

230305218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 230305218000 in words is "two hundred thirty billion, three hundred five million, two hundred eighteen thousand".