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220012212 = 223729372441
BaseRepresentation
bin11010001110100…
…01111010110100
3120022222210000110
431013101322310
5422310342322
633455343020
75311034010
oct1507217264
9508883013
10220012212
11103211482
1261821a70
1336773154
1421311540
15144adc0c
hexd1d1eb4

220012212 has 96 divisors (see below), whose sum is σ = 623589120. Its totient is φ = 59028480.

The previous prime is 220012207. The next prime is 220012297. The reversal of 220012212 is 212210022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88912 + ... + 91352.

It is an arithmetic number, because the mean of its divisors is an integer number (6495720).

Almost surely, 2220012212 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 220012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311794560).

220012212 is an abundant number, since it is smaller than the sum of its proper divisors (403576908).

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

220012212 is a wasteful number, since it uses less digits than its factorization.

220012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220012212 is about 14832.8086349147. The cubic root of 220012212 is about 603.6922434023.

Adding to 220012212 its reverse (212210022), we get a palindrome (432222234).

The spelling of 220012212 in words is "two hundred twenty million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 58 74 84 87 111 116 148 174 203 222 259 348 406 444 518 609 777 812 1036 1073 1218 1554 2146 2436 2441 3108 3219 4292 4882 6438 7323 7511 9764 12876 14646 15022 17087 22533 29292 30044 34174 45066 51261 68348 70789 90132 90317 102522 141578 180634 205044 212367 270951 283156 361268 424734 495523 541902 632219 849468 991046 1083804 1264438 1486569 1896657 1982092 2528876 2619193 2973138 3793314 5238386 5946276 7586628 7857579 10476772 15715158 18334351 31430316 36668702 55003053 73337404 110006106 220012212