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222323220 = 2232571011747
BaseRepresentation
bin11010100000001…
…10001000010100
3120111100012010100
431100012020110
5423403320340
634021054100
75336500440
oct1520061024
9514305110
10222323220
1110454a7a9
1262557330
13370a2002
1421753820
15147b8830
hexd406214

222323220 has 144 divisors (see below), whose sum is σ = 778796928. Its totient is φ = 50284800.

The previous prime is 222323177. The next prime is 222323239. The reversal of 222323220 is 22323222.

It is a super-2 number, since 2×2223232202 = 98855228302336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222323193 and 222323202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126387 + ... + 128133.

It is an arithmetic number, because the mean of its divisors is an integer number (5408312).

Almost surely, 2222323220 is an apocalyptic number.

222323220 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 222323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389398464).

222323220 is an abundant number, since it is smaller than the sum of its proper divisors (556473708).

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

222323220 is a wasteful number, since it uses less digits than its factorization.

222323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 222323220 is about 14910.5070336324. The cubic root of 222323220 is about 605.7986129501.

Adding to 222323220 its reverse (22323222), we get a palindrome (244646442).

It can be divided in two parts, 22232 and 3220, that added together give a palindrome (25452).

The spelling of 222323220 in words is "two hundred twenty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1747 1818 2020 2121 2828 3030 3494 3535 3636 4242 4545 5241 6060 6363 6988 7070 8484 8735 9090 10482 10605 12229 12726 14140 15723 17470 18180 20964 21210 24458 25452 26205 31446 31815 34940 36687 42420 48916 52410 61145 62892 63630 73374 78615 104820 110061 122290 127260 146748 157230 176447 183435 220122 244580 314460 352894 366870 440244 529341 550305 705788 733740 882235 1058682 1100610 1235129 1588023 1764470 2117364 2201220 2470258 2646705 3176046 3528940 3705387 4940516 5293410 6175645 6352092 7410774 7940115 10586820 11116161 12351290 14821548 15880230 18526935 22232322 24702580 31760460 37053870 44464644 55580805 74107740 111161610 222323220