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220223301322212 = 2232231997271838423
BaseRepresentation
bin110010000100101010111011…
…101001011000010111100100
31001212202010211111221001200100
4302010222323221120113210
5212331114310114302322
62100213104333544100
764246415463300426
oct6204527351302744
91055663744831610
10220223301322212
11641961a5428871
1220848902045030
1395b5c781c27b6
143c54c1688a816
151a6d7a7d79dac
hexc84abba585e4

220223301322212 has 144 divisors (see below), whose sum is σ = 584601183129600. Its totient is φ = 69767144213184.

The previous prime is 220223301322183. The next prime is 220223301322261. The reversal of 220223301322212 is 212223103322022.

220223301322212 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 330 + 1 + 322 + 2 + 1 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 118870033 + ... + 120708455.

It is an arithmetic number, because the mean of its divisors is an integer number (4059730438400).

Almost surely, 2220223301322212 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 220223301322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292300591564800).

220223301322212 is an abundant number, since it is smaller than the sum of its proper divisors (364377881807388).

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

220223301322212 is a wasteful number, since it uses less digits than its factorization.

220223301322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839382 (or 1839377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 220223301322212 its reverse (212223103322022), we get a palindrome (432446404644234).

The spelling of 220223301322212 in words is "two hundred twenty trillion, two hundred twenty-three billion, three hundred one million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 199 207 276 398 414 597 727 796 828 1194 1454 1791 2181 2388 2908 3582 4362 4577 6543 7164 8724 9154 13086 13731 16721 18308 26172 27462 33442 41193 50163 54924 66884 82386 100326 144673 150489 164772 200652 289346 300978 434019 578692 601956 868038 1302057 1736076 1838423 2604114 3327479 3676846 5208228 5515269 6654958 7353692 9982437 11030538 13309916 16545807 19964874 22061076 29947311 33091614 39929748 42283729 59894622 66183228 84567458 119789244 126851187 169134916 253702374 365846177 380553561 507404748 731692354 761107122 1097538531 1336533521 1463384708 1522214244 2195077062 2673067042 3292615593 4009600563 4390154124 5346134084 6585231186 8019201126 8414462071 12028801689 13170462372 16038402252 16828924142 24057603378 25243386213 30740270983 33657848284 48115206756 50486772426 61480541966 75730158639 92220812949 100973544852 122961083932 151460317278 184441625898 265970170679 276662438847 302920634556 368883251796 531940341358 553324877694 797910512037 1063880682716 1106649755388 1595821024074 2393731536111 3191642048148 4787463072222 6117313925617 9574926144444 12234627851234 18351941776851 24469255702468 36703883553702 55055825330553 73407767107404 110111650661106 220223301322212