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230671728 = 24327228841
BaseRepresentation
bin11011011111111…
…00010101110000
3121002001100010100
431233330111300
5433022443403
634520032400
75500451220
oct1557742560
9532040110
10230671728
111092320a1
1265302700
1338a35c61
14228c8080
15153b72a3
hexdbfc570

230671728 has 60 divisors (see below), whose sum is σ = 737786608. Its totient is φ = 65905920.

The previous prime is 230671717. The next prime is 230671729. The reversal of 230671728 is 827176032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230671692 and 230671701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230671729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113413 + ... + 115428.

Almost surely, 2230671728 is an apocalyptic number.

230671728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230671728 is an abundant number, since it is smaller than the sum of its proper divisors (507114880).

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

230671728 is a wasteful number, since it uses less digits than its factorization.

230671728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228862 (or 228853 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 230671728 is about 15187.8809581850. The cubic root of 230671728 is about 613.2884555485.

The spelling of 230671728 in words is "two hundred thirty million, six hundred seventy-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 228841 457682 686523 915364 1373046 1601887 1830728 2059569 2746092 3203774 3661456 4119138 4805661 5492184 6407548 8238276 9611322 10984368 12815096 14416983 16476552 19222644 25630192 28833966 32953104 38445288 57667932 76890576 115335864 230671728