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300212220 = 223572119283
BaseRepresentation
bin10001111001001…
…101111111111100
3202220220100202010
4101321031333330
51103323242340
645442331220
710303522200
oct2171157774
9686810663
10300212220
11144509980
1284659b10
134a273589
142bc2ab00
151b551b80
hex11e4dffc

300212220 has 144 divisors (see below), whose sum is σ = 1066843008. Its totient is φ = 62375040.

The previous prime is 300212207. The next prime is 300212233. The reversal of 300212220 is 22212003.

It is an interprime number because it is at equal distance from previous prime (300212207) and next prime (300212233).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300212196 and 300212205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27699 + ... + 36981.

It is an arithmetic number, because the mean of its divisors is an integer number (7408632).

Almost surely, 2300212220 is an apocalyptic number.

300212220 is a gapful number since it is divisible by the number (30) 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 300212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533421504).

300212220 is an abundant number, since it is smaller than the sum of its proper divisors (766630788).

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

300212220 is a wasteful number, since it uses less digits than its factorization.

300212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 300212220 is about 17326.6332563484. The cubic root of 300212220 is about 669.5907651649.

Adding to 300212220 its reverse (22212003), we get a palindrome (322424223).

The spelling of 300212220 in words is "three hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 9283 10780 16170 18566 27849 32340 37132 46415 55698 64981 92830 102113 111396 129962 139245 185660 194943 204226 259924 278490 306339 324905 389886 408452 454867 510565 556980 612678 649810 714791 779772 909734 974715 1021130 1225356 1299620 1364601 1429582 1531695 1819468 1949430 2042260 2144373 2274335 2729202 2859164 3063390 3573955 3898860 4288746 4548670 5003537 5458404 6126780 6823005 7147910 8577492 9097340 10007074 10721865 13646010 14295820 15010611 20014148 21443730 25017685 27292020 30021222 42887460 50035370 60042444 75053055 100070740 150106110 300212220