Search a number
-
+
304224412230 = 232519593015407
BaseRepresentation
bin1000110110101010011…
…00000010001001000110
31002002020220220101220100
410123111030002021012
514441022422142410
6351431520544530
730656651560104
oct4332514021106
91062226811810
10304224412230
11108025827782
124ab64182146
13228c40a410b
1410a201d0c74
157da84b18c0
hex46d5302246

304224412230 has 96 divisors (see below), whose sum is σ = 846726566400. Its totient is φ = 75554012736.

The previous prime is 304224412229. The next prime is 304224412241. The reversal of 304224412230 is 32214422403.

304224412230 is a `hidden beast` number, since 3 + 0 + 4 + 224 + 412 + 23 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 304224412194 and 304224412203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1406814 + ... + 1608593.

It is an arithmetic number, because the mean of its divisors is an integer number (8820068400).

Almost surely, 2304224412230 is an apocalyptic number.

304224412230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

304224412230 is an abundant number, since it is smaller than the sum of its proper divisors (542502154170).

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

304224412230 is a wasteful number, since it uses less digits than its factorization.

304224412230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015498 (or 3015495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 304224412230 its reverse (32214422403), we get a palindrome (336438834633).

The spelling of 304224412230 in words is "three hundred four billion, two hundred twenty-four million, four hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 59 90 95 114 118 171 177 190 285 295 342 354 531 570 590 855 885 1062 1121 1710 1770 2242 2655 3363 5310 5605 6726 10089 11210 16815 20178 33630 50445 100890 3015407 6030814 9046221 15077035 18092442 27138663 30154070 45231105 54277326 57292733 90462210 114585466 135693315 171878199 177909013 271386630 286463665 343756398 355818026 515634597 533727039 572927330 859390995 889545065 1031269194 1067454078 1601181117 1718781990 1779090130 2578172985 2668635195 3202362234 3380271247 5156345970 5337270390 6760542494 8005905585 10140813741 16011811170 16901356235 20281627482 30422441223 33802712470 50704068705 60844882446 101408137410 152112206115 304224412230