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230334816 = 25323910039
BaseRepresentation
bin11011011101010…
…10000101100000
3121001102012222010
431232222011200
5432431203231
634504512520
75464546035
oct1556520540
9531365863
10230334816
11109021a58
126517b740
13389487ba
142283b38c
151534c546
hexdbaa160

230334816 has 48 divisors (see below), whose sum is σ = 607219200. Its totient is φ = 76449408.

The previous prime is 230334803. The next prime is 230334823. The reversal of 230334816 is 618433032.

230334816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17925 + ... + 27963.

It is an arithmetic number, because the mean of its divisors is an integer number (12650400).

Almost surely, 2230334816 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 230334816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303609600).

230334816 is an abundant number, since it is smaller than the sum of its proper divisors (376884384).

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

230334816 is a wasteful number, since it uses less digits than its factorization.

230334816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 230334816 is about 15176.7854303868. The cubic root of 230334816 is about 612.9897266724.

Adding to 230334816 its reverse (618433032), we get a palindrome (848767848).

The spelling of 230334816 in words is "two hundred thirty million, three hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 10039 11472 20078 22944 30117 40156 60234 80312 120468 160624 240936 321248 481872 963744 2399321 4798642 7197963 9597284 14395926 19194568 28791852 38389136 57583704 76778272 115167408 230334816