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220120222212 = 2232112337364793
BaseRepresentation
bin1100110100000000110…
…0000000101000000100
3210001011120000212121200
43031000030000220010
512101301234102322
6245042152142500
721621533005662
oct3150014005004
9701146025550
10220120222212
1185397143a20
12367b1997a30
13179ac89abc7
14a92233dc32
155ad4a3b8ac
hex3340300a04

220120222212 has 144 divisors (see below), whose sum is σ = 635097310848. Its totient is φ = 63630927360.

The previous prime is 220120222159. The next prime is 220120222229. The reversal of 220120222212 is 212222021022.

220120222212 is a `hidden beast` number, since 220 + 12 + 0 + 222 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3364888 + ... + 3429680.

It is an arithmetic number, because the mean of its divisors is an integer number (4410397992).

Almost surely, 2220120222212 is an apocalyptic number.

220120222212 is a gapful number since it is divisible by the number (22) 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 220120222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317548655424).

220120222212 is an abundant number, since it is smaller than the sum of its proper divisors (414977088636).

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

220120222212 is a wasteful number, since it uses less digits than its factorization.

220120222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65210 (or 65205 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220120222212 its reverse (212222021022), we get a palindrome (432342243234).

The spelling of 220120222212 in words is "two hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 373 396 414 506 746 759 828 1012 1119 1492 1518 2238 2277 3036 3357 4103 4476 4554 6714 8206 8579 9108 12309 13428 16412 17158 24618 25737 34316 36927 49236 51474 64793 73854 77211 94369 102948 129586 147708 154422 188738 194379 259172 283107 308844 377476 388758 566214 583137 712723 777516 849321 1132428 1166274 1425446 1490239 1698642 2138169 2332548 2850892 2980478 3397284 4276338 4470717 5960956 6414507 8552676 8941434 12829014 13412151 16392629 17882868 24167789 25658028 26824302 32785258 48335578 49177887 53648604 65570516 72503367 96671156 98355774 145006734 147533661 196711548 217510101 265845679 290013468 295067322 435020202 531691358 555859147 590134644 797537037 870040404 1063382716 1111718294 1595074074 1667577441 2223436588 2392611111 3190148148 3335154882 4785222222 5002732323 6114450617 6670309764 9570444444 10005464646 12228901234 18343351851 20010929292 24457802468 36686703702 55030055553 73373407404 110060111106 220120222212