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230636430 = 23354212029
BaseRepresentation
bin11011011111100…
…11101110001110
3121001222112201000
431233303232032
5433020331210
634515201130
75500243263
oct1557635616
9531875630
10230636430
11109208622
12652a61a6
1338a22b7b
14228b926a
15153abac0
hexdbf3b8e

230636430 has 64 divisors (see below), whose sum is σ = 616795200. Its totient is φ = 61326720.

The previous prime is 230636411. The next prime is 230636489. The reversal of 230636430 is 34636032.

230636430 is a `hidden beast` number, since 23 + 0 + 636 + 4 + 3 + 0 = 666.

230636430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 230636394 and 230636403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112656 + ... + 114684.

It is an arithmetic number, because the mean of its divisors is an integer number (9637425).

Almost surely, 2230636430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230636430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308397600).

230636430 is an abundant number, since it is smaller than the sum of its proper divisors (386158770).

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

230636430 is a wasteful number, since it uses less digits than its factorization.

230636430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 230636430 is about 15186.7188688011. The cubic root of 230636430 is about 613.2571716104.

The spelling of 230636430 in words is "two hundred thirty million, six hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 421 842 1263 2029 2105 2526 3789 4058 4210 6087 6315 7578 10145 11367 12174 12630 18261 18945 20290 22734 30435 36522 37890 54783 56835 60870 91305 109566 113670 182610 273915 547830 854209 1708418 2562627 4271045 5125254 7687881 8542090 12813135 15375762 23063643 25626270 38439405 46127286 76878810 115318215 230636430