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230646042 = 23411347373
BaseRepresentation
bin11011011111101…
…10000100011010
3121002000000220000
431233312010122
5433021133132
634515313430
75500313304
oct1557660432
9532000800
10230646042
11109214870
12652ab876
1338a27363
14228bc974
15153ae87c
hexdbf611a

230646042 has 80 divisors (see below), whose sum is σ = 566942112. Its totient is φ = 69504480.

The previous prime is 230646037. The next prime is 230646043. The reversal of 230646042 is 240646032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230645997 and 230646015.

It is not an unprimeable number, because it can be changed into a prime (230646043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 618168 + ... + 618540.

Almost surely, 2230646042 is an apocalyptic number.

230646042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230646042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283471056).

230646042 is an abundant number, since it is smaller than the sum of its proper divisors (336296070).

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

230646042 is a wasteful number, since it uses less digits than its factorization.

230646042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230646042 is about 15187.0353262248. The cubic root of 230646042 is about 613.2656908573.

The spelling of 230646042 in words is "two hundred thirty million, six hundred forty-six thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 347 373 594 694 746 891 1041 1119 1782 2082 2238 3123 3357 3817 4103 6246 6714 7634 8206 9369 10071 11451 12309 18738 20142 22902 24618 28107 30213 34353 36927 56214 60426 68706 73854 103059 110781 129431 206118 221562 258862 309177 332343 388293 618354 664686 776586 1164879 1423741 2329758 2847482 3494637 4271223 6989274 8542446 10483911 12813669 20967822 25627338 38441007 76882014 115323021 230646042