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229300248 = 2332337103109
BaseRepresentation
bin11011010101011…
…01100000011000
3120222110122210210
431222231200120
5432200101443
634430411120
75453006562
oct1552554030
9528418723
10229300248
11108485741
1264960aa0
1338675928
142264c332
15151e5c33
hexdaad818

229300248 has 128 divisors (see below), whose sum is σ = 625996800. Its totient is φ = 69797376.

The previous prime is 229300243. The next prime is 229300261. The reversal of 229300248 is 842003922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229300243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103618 + ... + 2103726.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2229300248 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 229300248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312998400).

229300248 is an abundant number, since it is smaller than the sum of its proper divisors (396696552).

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

229300248 is a wasteful number, since it uses less digits than its factorization.

229300248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 229300248 is about 15142.6631739599. The cubic root of 229300248 is about 612.0705843661.

The spelling of 229300248 in words is "two hundred twenty-nine million, three hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 103 109 111 138 148 184 206 218 222 276 296 309 327 412 436 444 552 618 654 824 851 872 888 1236 1308 1702 2369 2472 2507 2553 2616 3404 3811 4033 4738 5014 5106 6808 7107 7521 7622 8066 9476 10028 10212 11227 11433 12099 14214 15042 15244 16132 18952 20056 20424 22454 22866 24198 28428 30084 30488 32264 33681 44908 45732 48396 56856 60168 67362 87653 89816 91464 92759 96792 134724 175306 185518 258221 262959 269448 278277 350612 371036 415399 516442 525918 556554 701224 742072 774663 830798 1032884 1051836 1113108 1246197 1549326 1661596 2065768 2103672 2226216 2492394 3098652 3323192 4984788 6197304 9554177 9969576 19108354 28662531 38216708 57325062 76433416 114650124 229300248