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222230320 = 245133161113
BaseRepresentation
bin11010011111011…
…11011100110000
3120111011110200121
431033233130300
5423342332240
634015100024
75335632544
oct1517573460
9514143617
10222230320
11104496a24
1262511614
133706b940
142172ba24
151479b04a
hexd3ef730

222230320 has 160 divisors (see below), whose sum is σ = 588962304. Its totient is φ = 77414400.

The previous prime is 222230317. The next prime is 222230329. The reversal of 222230320 is 23032222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 222230294 and 222230303.

It is not an unprimeable number, because it can be changed into a prime (222230329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1966584 + ... + 1966696.

Almost surely, 2222230320 is an apocalyptic number.

222230320 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 222230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294481152).

222230320 is an abundant number, since it is smaller than the sum of its proper divisors (366731984).

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

222230320 is a wasteful number, since it uses less digits than its factorization.

222230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 222230320 is about 14907.3914552480. The cubic root of 222230320 is about 605.7142215074.

Adding to 222230320 its reverse (23032222), we get a palindrome (245262542).

The spelling of 222230320 in words is "two hundred twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 61 62 65 80 104 113 122 124 130 155 208 226 244 248 260 305 310 403 452 488 496 520 565 610 620 793 806 904 976 1040 1130 1220 1240 1469 1586 1612 1808 1891 2015 2260 2440 2480 2938 3172 3224 3503 3782 3965 4030 4520 4880 5876 6344 6448 6893 7006 7345 7564 7930 8060 9040 9455 11752 12688 13786 14012 14690 15128 15860 16120 17515 18910 23504 24583 27572 28024 29380 30256 31720 32240 34465 35030 37820 45539 49166 55144 56048 58760 63440 68930 70060 75640 89609 91078 98332 110288 117520 122915 137860 140120 151280 179218 182156 196664 213683 227695 245830 275720 280240 358436 364312 393328 427366 448045 455390 491660 551440 716872 728624 854732 896090 910780 983320 1068415 1433744 1709464 1792180 1821560 1966640 2136830 2777879 3418928 3584360 3643120 4273660 5555758 7168720 8547320 11111516 13889395 17094640 22223032 27778790 44446064 55557580 111115160 222230320