Search a number
-
+
230645232 = 2434177967
BaseRepresentation
bin11011011111101…
…01110111110000
3121001222222210000
431233311313300
5433021121412
634515310000
75500311036
oct1557656760
9531888700
10230645232
111092141a4
12652ab300
1338a26b8c
14228bc556
15153ae4dc
hexdbf5df0

230645232 has 50 divisors (see below), whose sum is σ = 667557968. Its totient is φ = 76881312.

The previous prime is 230645227. The next prime is 230645251. The reversal of 230645232 is 232546032.

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 = 230645196 and 230645205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87688 + ... + 90279.

Almost surely, 2230645232 is an apocalyptic number.

It is an amenable number.

230645232 is an abundant number, since it is smaller than the sum of its proper divisors (436912736).

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

230645232 is a wasteful number, since it uses less digits than its factorization.

230645232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177987 (or 177972 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 230645232 is about 15187.0086587188. The cubic root of 230645232 is about 613.2649729523.

The spelling of 230645232 in words is "two hundred thirty million, six hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 177967 355934 533901 711868 1067802 1423736 1601703 2135604 2847472 3203406 4271208 4805109 6406812 8542416 9610218 12813624 14415327 19220436 25627248 28830654 38440872 57661308 76881744 115322616 230645232