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230828064 = 2532404459
BaseRepresentation
bin11011100001000…
…10100000100000
3121002100021120120
431300202200200
5433042444224
634523240240
75502002055
oct1560424040
9532307516
10230828064
111093295a5
1265379080
1338a8c16c
142292902c
15153e8779
hexdc22820

230828064 has 24 divisors (see below), whose sum is σ = 605923920. Its totient is φ = 76942656.

The previous prime is 230828051. The next prime is 230828071. The reversal of 230828064 is 460828032.

230828064 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1202134 + ... + 1202325.

It is an arithmetic number, because the mean of its divisors is an integer number (25246830).

Almost surely, 2230828064 is an apocalyptic number.

230828064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230828064 is an abundant number, since it is smaller than the sum of its proper divisors (375095856).

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

230828064 is a wasteful number, since it uses less digits than its factorization.

230828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404472 (or 2404464 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 230828064 is about 15193.0268215389. The cubic root of 230828064 is about 613.4269747804.

The spelling of 230828064 in words is "two hundred thirty million, eight hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2404459 4808918 7213377 9617836 14426754 19235672 28853508 38471344 57707016 76942688 115414032 230828064