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230305086 = 233111722807
BaseRepresentation
bin11011011101000…
…10110100111110
3121001100201012000
431232202310332
5432424230321
634504123130
75464363254
oct1556426476
9531321160
10230305086
11109001690
12651664a6
13389380cb
14228305d4
1515343826
hexdba2d3e

230305086 has 64 divisors (see below), whose sum is σ = 591183360. Its totient is φ = 65681280.

The previous prime is 230305081. The next prime is 230305091. The reversal of 230305086 is 680503032.

It is an interprime number because it is at equal distance from previous prime (230305081) and next prime (230305091).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230305081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (9237240).

Almost surely, 2230305086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230305086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295591680).

230305086 is an abundant number, since it is smaller than the sum of its proper divisors (360878274).

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

230305086 is a wasteful number, since it uses less digits than its factorization.

230305086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22846 (or 22840 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230305086 is about 15175.8059423544. The cubic root of 230305086 is about 612.9633520684.

The spelling of 230305086 in words is "two hundred thirty million, three hundred five thousand, eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 22807 45614 68421 136842 205263 250877 387719 410526 501754 615789 752631 775438 1163157 1231578 1505262 2257893 2326314 3489471 4264909 4515786 6773679 6978942 8529818 10468413 12794727 13547358 20936826 25589454 38384181 76768362 115152543 230305086