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220220112 = 24372109859
BaseRepresentation
bin11010010000001…
…00101011010000
3120100101100012110
431020010223100
5422334020422
633504025320
75312561100
oct1510045320
9510340173
10220220112
111033436a2
1261902240
1336816978
1421367200
151450060c
hexd204ad0

220220112 has 120 divisors (see below), whose sum is σ = 668632800. Its totient is φ = 62270208.

The previous prime is 220220111. The next prime is 220220137. The reversal of 220220112 is 211022022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255939 + ... + 256797.

It is an arithmetic number, because the mean of its divisors is an integer number (5571940).

Almost surely, 2220220112 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 220220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334316400).

220220112 is an abundant number, since it is smaller than the sum of its proper divisors (448412688).

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

220220112 is a wasteful number, since it uses less digits than its factorization.

220220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 980 counting only the distinct ones).

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

The square root of 220220112 is about 14839.8150931877. The cubic root of 220220112 is about 603.8823360405.

Adding to 220220112 its reverse (211022022), we get a palindrome (431242134).

The spelling of 220220112 in words is "two hundred twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 109 112 147 168 196 218 294 327 336 392 436 588 654 763 784 859 872 1176 1308 1526 1718 1744 2289 2352 2577 2616 3052 3436 4578 5154 5232 5341 6013 6104 6872 9156 10308 10682 12026 12208 13744 16023 18039 18312 20616 21364 24052 32046 36078 36624 41232 42091 42728 48104 64092 72156 84182 85456 93631 96208 126273 128184 144312 168364 187262 252546 256368 280893 288624 336728 374524 505092 561786 655417 673456 749048 1010184 1123572 1310834 1498096 1966251 2020368 2247144 2621668 3932502 4494288 4587919 5243336 7865004 9175838 10486672 13763757 15730008 18351676 27527514 31460016 36703352 55055028 73406704 110110056 220220112