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230327520 = 25352331673
BaseRepresentation
bin11011011101010…
…00010011100000
3121001101211221220
431232220103200
5432430440040
634504415040
75464515543
oct1556502340
9531354856
10230327520
11109017525
1265177480
1338945397
142283885a
151534a2d0
hexdba84e0

230327520 has 192 divisors, whose sum is σ = 782659584. Its totient is φ = 56770560.

The previous prime is 230327477. The next prime is 230327527. The reversal of 230327520 is 25723032.

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 (230327527) 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 31 ways as a sum of consecutive naturals, for example, 341904 + ... + 342576.

It is an arithmetic number, because the mean of its divisors is an integer number (4076352).

Almost surely, 2230327520 is an apocalyptic number.

230327520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230327520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391329792).

230327520 is an abundant number, since it is smaller than the sum of its proper divisors (552332064).

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

230327520 is a wasteful number, since it uses less digits than its factorization.

230327520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 230327520 is about 15176.5450613768. The cubic root of 230327520 is about 612.9832543259.

The spelling of 230327520 in words is "two hundred thirty million, three hundred twenty-seven thousand, five hundred twenty".