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220222122202020 = 22354122183443607
BaseRepresentation
bin110010000100101001110101…
…010111011001001110100100
31001212202000210100012112212010
4302010221311113121032210
5212331104401240431040
62100212351333154220
764246344325034301
oct6204516527311644
91055660710175763
10220222122202020
116419574a893374
122084863318b970
1395b5b1ab2c043
143c54b440340a8
151a6d7395b5e80
hexc84a755d93a4

220222122202020 has 72 divisors (see below), whose sum is σ = 632028320546112. Its totient is φ = 57293560221440.

The previous prime is 220222122201997. The next prime is 220222122202021. The reversal of 220222122202020 is 20202221222022.

It is a super-2 number, since 2×2202221222020202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220222122202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091620944 + ... + 1091822663.

It is an arithmetic number, because the mean of its divisors is an integer number (8778171118696).

Almost surely, 2220222122202020 is an apocalyptic number.

220222122202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222122202020 is an abundant number, since it is smaller than the sum of its proper divisors (411806198344092).

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

220222122202020 is a wasteful number, since it uses less digits than its factorization.

220222122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183443701 (or 2183443658 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 220222122202020 its reverse (20202221222022), we get a palindrome (240424343424042).

The spelling of 220222122202020 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1681 2460 3362 5043 6724 8405 10086 16810 20172 25215 33620 50430 100860 2183443607 4366887214 6550330821 8733774428 10917218035 13100661642 21834436070 26201323284 32751654105 43668872140 65503308210 89521187887 131006616420 179042375774 268563563661 358084751548 447605939435 537127127322 895211878870 1074254254644 1342817818305 1790423757740 2685635636610 3670368703367 5371271273220 7340737406734 11011106110101 14681474813468 18351843516835 22022212220202 36703687033670 44044424440404 55055530550505 73407374067340 110111061101010 220222122202020