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222120200010200 = 23522394649999541
BaseRepresentation
bin110010100000010001100011…
…100111100111100111011000
31002010110111001122110121002212
4302200101203213213213120
5213103204132200311300
62104224340004014252
764533440423146142
oct6240214347474730
91063414048417085
10222120200010200
1164857714275978
1220ab4471691388
1396c2aca58016b
143cbc96445dc92
151aa2cc9715935
hexca04639e79d8

222120200010200 has 96 divisors (see below), whose sum is σ = 518702325480000. Its totient is φ = 88457210956800.

The previous prime is 222120200010133. The next prime is 222120200010221. The reversal of 222120200010200 is 2010002021222.

It is a congruent number.

It is an unprimeable number.

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, 221722430 + ... + 222721970.

It is an arithmetic number, because the mean of its divisors is an integer number (5403149223750).

Almost surely, 2222120200010200 is an apocalyptic number.

222120200010200 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 222120200010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259351162740000).

222120200010200 is an abundant number, since it is smaller than the sum of its proper divisors (296582125469800).

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

222120200010200 is a wasteful number, since it uses less digits than its factorization.

222120200010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004445 (or 1004436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222120200010200 its reverse (2010002021222), we get a palindrome (224130202031422).

The spelling of 222120200010200 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 956 1195 1912 2390 4649 4780 5975 9298 9560 11950 18596 23245 23900 37192 46490 47800 92980 116225 185960 232450 464900 929800 999541 1111111 1999082 2222222 3998164 4444444 4997705 5555555 7996328 8888888 9995410 11111110 19990820 22222220 24988525 27777775 39981640 44444440 49977050 55555550 99954100 111111100 199908200 222222200 238890299 477780598 955561196 1194451495 1911122392 2388902990 4646866109 4777805980 5972257475 9293732218 9555611960 11944514950 18587464436 23234330545 23889029900 37174928872 46468661090 47778059800 92937322180 116171652725 185874644360 232343305450 464686610900 929373221800 1110601000051 2221202000102 4442404000204 5553005000255 8884808000408 11106010000510 22212020001020 27765025001275 44424040002040 55530050002550 111060100005100 222120200010200