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230496336 = 243271713451
BaseRepresentation
bin11011011110100…
…01100001010000
3121001201102112100
431233101201100
5433001340321
634512200400
75466120660
oct1557214120
9531642470
10230496336
11109122344
1265239100
13389a4185
14228801a0
1515380326
hexdbd1850

230496336 has 120 divisors (see below), whose sum is σ = 780646464. Its totient is φ = 61977600.

The previous prime is 230496323. The next prime is 230496337. The reversal of 230496336 is 633694032.

230496336 is a `hidden beast` number, since 230 + 4 + 96 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230496336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230496337) 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 23 ways as a sum of consecutive naturals, for example, 10411 + ... + 23861.

Almost surely, 2230496336 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 230496336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390323232).

230496336 is an abundant number, since it is smaller than the sum of its proper divisors (550150128).

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

230496336 is a wasteful number, since it uses less digits than its factorization.

230496336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 230496336 is about 15182.1057827957. The cubic root of 230496336 is about 613.1329775106.

The spelling of 230496336 in words is "two hundred thirty million, four hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 13451 17136 26902 40353 53804 80706 94157 107608 121059 161412 188314 215216 228667 242118 282471 322824 376628 457334 484236 564942 645648 686001 753256 847413 914668 968472 1129884 1372002 1506512 1600669 1694826 1829336 1936944 2058003 2259768 2744004 3201338 3389652 3658672 4116006 4519536 4802007 5488008 6402676 6779304 8232012 9604014 10976016 12805352 13558608 14406021 16464024 19208028 25610704 28812042 32928048 38416056 57624084 76832112 115248168 230496336