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214422202224412 = 227132681321969641
BaseRepresentation
bin110000110000010000001111…
…001100100000111100011100
31001010012120011221112020112121
4300300100033030200330130
5211101043132232140122
62040012111055312324
763110331026455420
oct6060201714407434
91033176157466477
10214422202224412
1162359a441a9126
122007056181b6a4
139284c08558a50
143ad4138bd6b80
1519bc930b0cbc7
hexc3040f320f1c

214422202224412 has 48 divisors (see below), whose sum is σ = 461849680780992. Its totient is φ = 84823198225920.

The previous prime is 214422202224359. The next prime is 214422202224491.

214422202224412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224889 + ... + 20744752.

It is an arithmetic number, because the mean of its divisors is an integer number (9621868349604).

Almost surely, 2214422202224412 is an apocalyptic number.

It is an amenable number.

214422202224412 is an abundant number, since it is smaller than the sum of its proper divisors (247427478556580).

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

214422202224412 is a wasteful number, since it uses less digits than its factorization.

214422202224412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21996478 (or 21996476 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 21442220 and 2224412, that added together give a palindrome (23666632).

The spelling of 214422202224412 in words is "two hundred fourteen trillion, four hundred twenty-two billion, two hundred two million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 26813 53626 107252 187691 348569 375382 697138 750764 1394276 2439983 4879966 9759932 21969641 43939282 87878564 153787487 285605333 307574974 571210666 615149948 1142421332 1999237331 3998474662 7996949324 589071984133 1178143968266 2356287936532 4123503888931 7657935793729 8247007777862 15315871587458 16494015555724 30631743174916 53605550556103 107211101112206 214422202224412