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302223012 = 2237131032687
BaseRepresentation
bin10010000000111…
…000111010100100
3210001200112000220
4102000320322210
51104332114022
645553404340
710326565440
oct2200707244
9701615026
10302223012
11145662693
12852696b0
134a7c88b0
142c1d1820
151b7ec85c
hex12038ea4

302223012 has 96 divisors (see below), whose sum is σ = 876675072. Its totient is φ = 78903936.

The previous prime is 302223011. The next prime is 302223041. The reversal of 302223012 is 210322203.

It is a junction number, because it is equal to n+sod(n) for n = 302222982 and 302223000.

It is not an unprimeable number, because it can be changed into a prime (302223011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111133 + ... + 113819.

It is an arithmetic number, because the mean of its divisors is an integer number (9132032).

Almost surely, 2302223012 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 302223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438337536).

302223012 is an abundant number, since it is smaller than the sum of its proper divisors (574452060).

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

302223012 is a wasteful number, since it uses less digits than its factorization.

302223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 302223012 is about 17384.5624621386. The cubic root of 302223012 is about 671.0823909378.

Adding to 302223012 its reverse (210322203), we get a palindrome (512545215).

The spelling of 302223012 in words is "three hundred two million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 103 156 182 206 273 309 364 412 546 618 721 1092 1236 1339 1442 2163 2678 2687 2884 4017 4326 5356 5374 8034 8061 8652 9373 10748 16068 16122 18746 18809 28119 32244 34931 37492 37618 56238 56427 69862 75236 104793 112476 112854 139724 209586 225708 244517 276761 419172 489034 553522 733551 830283 978068 1107044 1467102 1660566 1937327 2934204 3321132 3597893 3874654 5811981 7195786 7749308 10793679 11623962 14391572 21587358 23247924 25185251 43174716 50370502 75555753 100741004 151111506 302223012