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230782736 = 24231075861
BaseRepresentation
bin11011100000101…
…11011100010000
3121002020222101202
431300113130100
5433040021421
634522250332
75501422652
oct1560273420
9532228352
10230782736
111092a8538
12653569a8
1338a74642
14229166d2
15153da10b
hexdc17710

230782736 has 40 divisors (see below), whose sum is σ = 471023424. Its totient is φ = 109324160.

The previous prime is 230782733. The next prime is 230782751. The reversal of 230782736 is 637287032.

It is a self number, because there is not a number n which added to its sum of digits gives 230782736.

It is not an unprimeable number, because it can be changed into a prime (230782733) 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 7 ways as a sum of consecutive naturals, for example, 36446 + ... + 42306.

Almost surely, 2230782736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230782736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235511712).

230782736 is an abundant number, since it is smaller than the sum of its proper divisors (240240688).

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

230782736 is a wasteful number, since it uses less digits than its factorization.

230782736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 230782736 is about 15191.5350113147. The cubic root of 230782736 is about 613.3868190071.

The spelling of 230782736 in words is "two hundred thirty million, seven hundred eighty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 107 184 214 368 428 856 1712 2461 4922 5861 9844 11722 19688 23444 39376 46888 93776 134803 269606 539212 627127 1078424 1254254 2156848 2508508 5017016 10034032 14423921 28847842 57695684 115391368 230782736