230223331303200 has 432 divisors, whose sum is σ = 817386465168000. Its totient is φ = 60972498432000.

The previous prime is 230223331303193. The next prime is 230223331303219. The reversal of 230223331303200 is 2303133322032.

230223331303200 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 2 + 3 + 331 + 3 + 0 + 320 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5347915276 + ... + 5347958324.

It is an arithmetic number, because the mean of its divisors is an integer number (1892098299000).

Almost surely, 2^{230223331303200} is an apocalyptic number.

230223331303200 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 230223331303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408693232584000).

230223331303200 is an abundant number, since it is smaller than the sum of its proper divisors (587163133864800).

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

230223331303200 is a wasteful number, since it uses less digits than its factorization.

230223331303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48145 (or 48129 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 230223331303200 its reverse (2303133322032), we get a palindrome (232526464625232).

The spelling of 230223331303200 in words is "two hundred thirty trillion, two hundred twenty-three billion, three hundred thirty-one million, three hundred three thousand, two hundred".