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230412645 = 325171731741
BaseRepresentation
bin11011011101111…
…01000101100101
3121001120011201200
431232331011211
5432441201040
634510313113
75465321661
oct1556750545
9531504650
10230412645
11109075481
12651b8799
1338975058
142285b8a1
1515365630
hexdbbd165

230412645 has 48 divisors (see below), whose sum is σ = 425563632. Its totient is φ = 114923520.

The previous prime is 230412607. The next prime is 230412647. The reversal of 230412645 is 546214032.

230412645 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 12 + 645 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 799236 + 229613409 = 894^2 + 15153^2 .

It is not a de Polignac number, because 230412645 - 28 = 230412389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230412647) 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 47 ways as a sum of consecutive naturals, for example, 131475 + ... + 133215.

It is an arithmetic number, because the mean of its divisors is an integer number (8865909).

Almost surely, 2230412645 is an apocalyptic number.

It is an amenable number.

230412645 is a deficient number, since it is larger than the sum of its proper divisors (195150987).

230412645 is a wasteful number, since it uses less digits than its factorization.

230412645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230412645 is about 15179.3492943538. The cubic root of 230412645 is about 613.0587609675.

Adding to 230412645 its reverse (546214032), we get a palindrome (776626677).

The spelling of 230412645 in words is "two hundred thirty million, four hundred twelve thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 173 255 519 765 865 1557 1741 2595 2941 5223 7785 8705 8823 14705 15669 26115 26469 29597 44115 78345 88791 132345 147985 266373 301193 443955 903579 1331865 1505965 2710737 4517895 5120281 13553685 15360843 25601405 46082529 76804215 230412645