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230608512 = 2733531259
BaseRepresentation
bin11011011111011…
…00111010000000
3121001221010102000
431233230322000
5433013433022
634514424000
75500066011
oct1557547200
9531833360
10230608512
11109199652
1265292000
1338a13254
14228ad008
15153a36ac
hexdbece80

230608512 has 128 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 75359232.

The previous prime is 230608507. The next prime is 230608517. The reversal of 230608512 is 215806032.

230608512 is a `hidden beast` number, since 2 + 3 + 0 + 608 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (230608507) and next prime (230608517).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (230608517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182539 + ... + 183797.

Almost surely, 2230608512 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 230608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

230608512 is an abundant number, since it is smaller than the sum of its proper divisors (463399488).

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

230608512 is a wasteful number, since it uses less digits than its factorization.

230608512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 230608512 is about 15185.7996825982. The cubic root of 230608512 is about 613.2324261635.

The spelling of 230608512 in words is "two hundred thirty million, six hundred eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 424 432 477 576 636 848 864 954 1152 1259 1272 1431 1696 1728 1908 2518 2544 2862 3392 3456 3777 3816 5036 5088 5724 6784 7554 7632 10072 10176 11331 11448 15108 15264 20144 20352 22662 22896 30216 30528 33993 40288 45324 45792 60432 61056 66727 67986 80576 90648 91584 120864 133454 135972 161152 181296 183168 200181 241728 266908 271944 362592 400362 483456 533816 543888 600543 725184 800724 1067632 1087776 1201086 1450368 1601448 1801629 2135264 2175552 2402172 3202896 3603258 4270528 4351104 4804344 6405792 7206516 8541056 9608688 12811584 14413032 19217376 25623168 28826064 38434752 57652128 76869504 115304256 230608512