230224140000 has 720 divisors, whose sum is σ = 886327097040. Its totient is φ = 58112640000.

The previous prime is 230224139983. The next prime is 230224140017. The reversal of 230224140000 is 41422032.

230224140000 is a `hidden beast` number, since 23 + 0 + 2 + 241 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230224139983) and next prime (230224140017).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194939410 + ... + 194940590.

It is an arithmetic number, because the mean of its divisors is an integer number (1231009857).

Almost surely, 2^230224140000 is an apocalyptic number.

230224140000 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 230224140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443163548520).

230224140000 is an abundant number, since it is smaller than the sum of its proper divisors (656102957040).

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

230224140000 is a wasteful number, since it uses less digits than its factorization.

230224140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230224140000 its reverse (41422032), we get a palindrome (230265562032).

The spelling of 230224140000 in words is "two hundred thirty billion, two hundred twenty-four million, one hundred forty thousand".