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222334020 = 223256120249
BaseRepresentation
bin11010100000010…
…00110001000100
3120111100201221100
431100020301010
5423404142040
634021220100
75336544066
oct1520106104
9514321840
10222334020
11104557927
1262561630
13370a6bbc
1421757736
15147bbb30
hexd408c44

222334020 has 72 divisors (see below), whose sum is σ = 685503000. Its totient is φ = 58314240.

The previous prime is 222334019. The next prime is 222334033. The reversal of 222334020 is 20433222.

It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 220700736 = 1278^2 + 14856^2 .

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 = 222333984 and 222334002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2222334020 is an apocalyptic number.

222334020 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 222334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342751500).

222334020 is an abundant number, since it is smaller than the sum of its proper divisors (463168980).

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

222334020 is a wasteful number, since it uses less digits than its factorization.

222334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20325 (or 20320 counting only the distinct ones).

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

The square root of 222334020 is about 14910.8691899567. The cubic root of 222334020 is about 605.8084222705.

Adding to 222334020 its reverse (20433222), we get a palindrome (242767242).

The spelling of 222334020 in words is "two hundred twenty-two million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 20249 40498 60747 80996 101245 121494 182241 202490 242988 303735 364482 404980 607470 728964 911205 1214940 1235189 1822410 2470378 3644820 3705567 4940756 6175945 7411134 11116701 12351890 14822268 18527835 22233402 24703780 37055670 44466804 55583505 74111340 111167010 222334020