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230756320 = 2551442227
BaseRepresentation
bin11011100000100…
…00111111100000
3121002012122011101
431300100333200
5433033200240
634521524144
75501252644
oct1560207740
9532178141
10230756320
1110928a703
1265343654
1338a65602
142290ac24
15153d239a
hexdc10fe0

230756320 has 24 divisors (see below), whose sum is σ = 545162184. Its totient is φ = 92302464.

The previous prime is 230756303. The next prime is 230756327. The reversal of 230756320 is 23657032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230756327) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 720954 + ... + 721273.

It is an arithmetic number, because the mean of its divisors is an integer number (22715091).

Almost surely, 2230756320 is an apocalyptic number.

230756320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230756320 is an abundant number, since it is smaller than the sum of its proper divisors (314405864).

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

230756320 is a wasteful number, since it uses less digits than its factorization.

230756320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442242 (or 1442234 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 230756320 is about 15190.6655548728. The cubic root of 230756320 is about 613.3634148237.

The spelling of 230756320 in words is "two hundred thirty million, seven hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1442227 2884454 5768908 7211135 11537816 14422270 23075632 28844540 46151264 57689080 115378160 230756320