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224427330 = 232523181599
BaseRepresentation
bin11010110000001…
…11110101000010
3120122022002102100
431120013311002
5424423133310
634134131230
75363413041
oct1530076502
9518262370
10224427330
11105757636
12631b0b16
133765a94a
1421b40558
1514a81ec0
hexd607d42

224427330 has 96 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 56833920.

The previous prime is 224427323. The next prime is 224427337. The reversal of 224427330 is 33724422.

It is an interprime number because it is at equal distance from previous prime (224427323) and next prime (224427337).

It is a junction number, because it is equal to n+sod(n) for n = 224427294 and 224427303.

It is not an unprimeable number, because it can be changed into a prime (224427337) 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 47 ways as a sum of consecutive naturals, for example, 374371 + ... + 374969.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2224427330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224427330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

224427330 is an abundant number, since it is smaller than the sum of its proper divisors (388839870).

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

224427330 is a wasteful number, since it uses less digits than its factorization.

224427330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 224427330 is about 14980.8988381872. The cubic root of 224427330 is about 607.7037471337.

The spelling of 224427330 in words is "two hundred twenty-four million, four hundred twenty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 181 207 230 345 362 414 543 599 690 905 1035 1086 1198 1629 1797 1810 2070 2715 2995 3258 3594 4163 5391 5430 5990 8145 8326 8985 10782 12489 13777 16290 17970 20815 24978 26955 27554 37467 41331 41630 53910 62445 68885 74934 82662 108419 123993 124890 137770 187335 206655 216838 247986 325257 374670 413310 542095 619965 650514 975771 1084190 1239930 1626285 1951542 2493637 3252570 4878855 4987274 7480911 9757710 12468185 14961822 22442733 24936370 37404555 44885466 74809110 112213665 224427330