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230079648 = 2537332831
BaseRepresentation
bin11011011011010…
…11110010100000
3121000221020221110
431231223302200
5432400022043
634455223320
75462434101
oct1555536240
9530836843
10230079648
11108968277
1265077b40
1338889606
14227b23a8
15152ebb33
hexdb6bca0

230079648 has 48 divisors (see below), whose sum is σ = 612251136. Its totient is φ = 75640320.

The previous prime is 230079643. The next prime is 230079667. The reversal of 230079648 is 846970032.

230079648 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 not an unprimeable number, because it can be changed into a prime (230079643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9408 + ... + 23423.

It is an arithmetic number, because the mean of its divisors is an integer number (12755232).

Almost surely, 2230079648 is an apocalyptic number.

It is an amenable number.

230079648 is an abundant number, since it is smaller than the sum of its proper divisors (382171488).

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

230079648 is a wasteful number, since it uses less digits than its factorization.

230079648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32917 (or 32909 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 230079648 is about 15168.3765776038. The cubic root of 230079648 is about 612.7632836180.

The spelling of 230079648 in words is "two hundred thirty million, seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 32831 65662 98493 131324 196986 262648 393972 525296 787944 1050592 1575888 2396663 3151776 4793326 7189989 9586652 14379978 19173304 28759956 38346608 57519912 76693216 115039824 230079648