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230323033332 = 22337327122943
BaseRepresentation
bin1101011010000001010…
…0101001010011110100
3211000111121102101022000
43112200110221103310
512233200144031312
6253450421535300
722432422324000
oct3264024512364
9730447371260
10230323033332
1189752390a27
123877a874530
13189475b8052
14b20d3b7700
155ed060badc
hex35a05294f4

230323033332 has 192 divisors, whose sum is σ = 698966016000. Its totient is φ = 65560894560.

The previous prime is 230323033279. The next prime is 230323033333. The reversal of 230323033332 is 233330323032.

230323033332 is a `hidden beast` number, since 2 + 3 + 0 + 323 + 0 + 3 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230323033296 and 230323033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230323033333) 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 63 ways as a sum of consecutive naturals, for example, 10027453 + ... + 10050395.

It is an arithmetic number, because the mean of its divisors is an integer number (3640448000).

Almost surely, 2230323033332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230323033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349483008000).

230323033332 is an abundant number, since it is smaller than the sum of its proper divisors (468642982668).

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

230323033332 is a wasteful number, since it uses less digits than its factorization.

230323033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23248 (or 23226 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 27.

Adding to 230323033332 its reverse (233330323032), we get a palindrome (463653356364).

The spelling of 230323033332 in words is "two hundred thirty billion, three hundred twenty-three million, thirty-three thousand, three hundred thirty-two".