Search a number
-
+
220222110220 = 2257219103114827
BaseRepresentation
bin1100110100011001000…
…0101011101000001100
3210001102122202022200121
43031012100223220030
512102003330011340
6245100232034324
721624211023400
oct3150620535014
9701378668617
10220222110220
1185439704992
123681bb329a4
13179c7a22b78
14a931aa3100
155add96594a
hex334642ba0c

220222110220 has 144 divisors (see below), whose sum is σ = 571788322560. Its totient is φ = 70835700096.

The previous prime is 220222110167. The next prime is 220222110247. The reversal of 220222110220 is 22011222022.

It is a junction number, because it is equal to n+sod(n) for n = 220222110194 and 220222110203.

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, 1860447 + ... + 1975273.

It is an arithmetic number, because the mean of its divisors is an integer number (3970752240).

Almost surely, 2220222110220 is an apocalyptic number.

220222110220 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 220222110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285894161280).

220222110220 is an abundant number, since it is smaller than the sum of its proper divisors (351566212340).

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

220222110220 is a wasteful number, since it uses less digits than its factorization.

220222110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114972 (or 114963 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220222110220 its reverse (22011222022), we get a palindrome (242233332242).

The spelling of 220222110220 in words is "two hundred twenty billion, two hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 103 133 140 190 196 206 245 266 380 412 490 515 532 665 721 931 980 1030 1330 1442 1862 1957 2060 2660 2884 3605 3724 3914 4655 5047 7210 7828 9310 9785 10094 13699 14420 18620 19570 20188 25235 27398 39140 50470 54796 68495 95893 100940 114827 136990 191786 229654 273980 383572 459308 479465 574135 803789 958930 1148270 1607578 1917860 2181713 2296540 3215156 4018945 4363426 5626523 8037890 8726852 10908565 11253046 11827181 15271991 16075780 21817130 22506092 23654362 28132615 30543982 43634260 47308724 56265230 59135905 61087964 76359955 82790267 106903937 112530460 118271810 152719910 165580534 213807874 224716439 236543620 305439820 331161068 413951335 427615748 449432878 534519685 579531869 827902670 898865756 1069039370 1123582195 1159063738 1573015073 1655805340 2138078740 2247164390 2318127476 2897659345 3146030146 4494328780 5795318690 6292060292 7865075365 11011105511 11590637380 15730150730 22022211022 31460301460 44044422044 55055527555 110111055110 220222110220