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230835520 = 2651742433
BaseRepresentation
bin11011100001001…
…00010101000000
3121002100122210201
431300210111000
5433043214040
634523334544
75502032566
oct1560442500
9532318721
10230835520
11109334163
1265381454
1338a92686
142292ba36
15153eaa9a
hexdc24540

230835520 has 56 divisors (see below), whose sum is σ = 582024744. Its totient is φ = 86900736.

The previous prime is 230835509. The next prime is 230835523. The reversal of 230835520 is 25538032.

230835520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54051904 + 176783616 = 7352^2 + 13296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230835523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15777 + ... + 26656.

It is an arithmetic number, because the mean of its divisors is an integer number (10393299).

Almost surely, 2230835520 is an apocalyptic number.

230835520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230835520 is an abundant number, since it is smaller than the sum of its proper divisors (351189224).

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

230835520 is a wasteful number, since it uses less digits than its factorization.

230835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42467 (or 42457 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 230835520 is about 15193.2721952843. The cubic root of 230835520 is about 613.4335794976.

The spelling of 230835520 in words is "two hundred thirty million, eight hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 42433 84866 169732 212165 339464 424330 678928 721361 848660 1357856 1442722 1697320 2715712 2885444 3394640 3606805 5770888 6789280 7213610 11541776 13578560 14427220 23083552 28854440 46167104 57708880 115417760 230835520