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230323312200 = 2335211314092411
BaseRepresentation
bin1101011010000001010…
…1101101011001001000
3211000111121221112211110
43112200111231121020
512233200231442300
6253450431530320
722432424565012
oct3264025553110
9730447845743
10230323312200
11897525614a3
123877a9899a0
1318947684c67
14b20d44b1b2
155ed0664550
hex35a056d648

230323312200 has 192 divisors, whose sum is σ = 721131076800. Its totient is φ = 60807577600.

The previous prime is 230323312199. The next prime is 230323312207. The reversal of 230323312200 is 2213323032.

It is a super-4 number, since 4×2303233122004 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (230323312207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95528995 + ... + 95531405.

It is an arithmetic number, because the mean of its divisors is an integer number (3755891025).

Almost surely, 2230323312200 is an apocalyptic number.

230323312200 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 230323312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360565538400).

230323312200 is an abundant number, since it is smaller than the sum of its proper divisors (490807764600).

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

230323312200 is a wasteful number, since it uses less digits than its factorization.

230323312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230323312200 its reverse (2213323032), we get a palindrome (232536635232).

The spelling of 230323312200 in words is "two hundred thirty billion, three hundred twenty-three million, three hundred twelve thousand, two hundred".