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230222300 = 2252711291031
BaseRepresentation
bin11011011100011…
…10100111011100
3121001012111121212
431232032213130
5432414103200
634502243552
75463600020
oct1556164734
9531174555
10230222300
11108a55470
12651265b8
1338909519
142280c380
1515329035
hexdb8e9dc

230222300 has 144 divisors (see below), whose sum is σ = 644958720. Its totient is φ = 69216000.

The previous prime is 230222299. The next prime is 230222327. The reversal of 230222300 is 3222032.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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, 222785 + ... + 223815.

It is an arithmetic number, because the mean of its divisors is an integer number (4478880).

Almost surely, 2230222300 is an apocalyptic number.

230222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322479360).

230222300 is an abundant number, since it is smaller than the sum of its proper divisors (414736420).

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

230222300 is a wasteful number, since it uses less digits than its factorization.

230222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230222300 is about 15173.0781320074. The cubic root of 230222300 is about 612.8898975239.

Adding to 230222300 its reverse (3222032), we get a palindrome (233444332).

The spelling of 230222300 in words is "two hundred thirty million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1031 1100 1276 1450 1540 1595 1925 2030 2062 2233 2900 3190 3850 4060 4124 4466 5075 5155 6380 7217 7700 7975 8932 10150 10310 11165 11341 14434 15950 20300 20620 22330 22682 25775 28868 29899 31900 36085 44660 45364 51550 55825 56705 59798 72170 79387 103100 111650 113410 119596 144340 149495 158774 180425 209293 223300 226820 283525 298990 317548 328889 360850 396935 418586 567050 597980 657778 721700 747475 793870 837172 1046465 1134100 1315556 1494950 1587740 1644445 1984675 2092930 2302223 2989900 3288890 3969350 4185860 4604446 5232325 6577780 7938700 8222225 9208892 10464650 11511115 16444450 20929300 23022230 32888900 46044460 57555575 115111150 230222300