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230943240 = 2332511292011
BaseRepresentation
bin11011100001111…
…10101000001000
3121002120010120100
431300332220020
5433110140430
634525525400
75502661623
oct1560765010
9532503510
10230943240
111093a8090
1265413860
1338acc708
1422958dba
151541c960
hexdc3ea08

230943240 has 192 divisors, whose sum is σ = 847454400. Its totient is φ = 54028800.

The previous prime is 230943199. The next prime is 230943241. The reversal of 230943240 is 42349032.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (230943241) 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 47 ways as a sum of consecutive naturals, for example, 113835 + ... + 115845.

It is an arithmetic number, because the mean of its divisors is an integer number (4413825).

Almost surely, 2230943240 is an apocalyptic number.

230943240 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 230943240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423727200).

230943240 is an abundant number, since it is smaller than the sum of its proper divisors (616511160).

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

230943240 is a wasteful number, since it uses less digits than its factorization.

230943240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230943240 is about 15196.8167719427. The cubic root of 230943240 is about 613.5289847876.

The spelling of 230943240 in words is "two hundred thirty million, nine hundred forty-three thousand, two hundred forty".