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230900064 = 2532405209
BaseRepresentation
bin11011100001101…
…00000101100000
3121002110221100020
431300310011200
5433102300224
634524553440
75502422013
oct1560640540
9532427306
10230900064
111093786aa
12653b2880
1338ab5b75
142294737a
151540ec79
hexdc34160

230900064 has 24 divisors (see below), whose sum is σ = 606112920. Its totient is φ = 76966656.

The previous prime is 230900063. The next prime is 230900077. The reversal of 230900064 is 460009032.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230900063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1202509 + ... + 1202700.

It is an arithmetic number, because the mean of its divisors is an integer number (25254705).

Almost surely, 2230900064 is an apocalyptic number.

230900064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230900064 is an abundant number, since it is smaller than the sum of its proper divisors (375212856).

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

230900064 is a wasteful number, since it uses less digits than its factorization.

230900064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405222 (or 2405214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 230900064 is about 15195.3961448855. The cubic root of 230900064 is about 613.4907482951.

Adding to 230900064 its reverse (460009032), we get a palindrome (690909096).

The spelling of 230900064 in words is "two hundred thirty million, nine hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2405209 4810418 7215627 9620836 14431254 19241672 28862508 38483344 57725016 76966688 115450032 230900064