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221413111533444 = 22397103282121839
BaseRepresentation
bin110010010101111111000001…
…110111001000111110000100
31002000221212221102202021021210
4302111333001313020332010
5213010113023023032234
62102523440152011420
764431366211233465
oct6225770167107604
91060855842667253
10221413111533444
1164604856261826
12209bb417090b70
13967122269c79c
143c9664796ad6c
151a8e6e31b8be9
hexc95fc1dc8f84

221413111533444 has 144 divisors (see below), whose sum is σ = 527739575650560. Its totient is φ = 72242927216640.

The previous prime is 221413111533437. The next prime is 221413111533527. The reversal of 221413111533444 is 444335111314122.

It is a happy number.

It is a super-2 number, since 2×2214131115334442 (a number of 29 digits) contains 22 as substring.

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, 10138416277 + ... + 10138438115.

It is an arithmetic number, because the mean of its divisors is an integer number (3664858164240).

Almost surely, 2221413111533444 is an apocalyptic number.

It is an amenable number.

221413111533444 is an abundant number, since it is smaller than the sum of its proper divisors (306326464117116).

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

221413111533444 is a wasteful number, since it uses less digits than its factorization.

221413111533444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970 (or 22865 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

Adding to 221413111533444 its reverse (444335111314122), we get a palindrome (665748222847566).

The spelling of 221413111533444 in words is "two hundred twenty-one trillion, four hundred thirteen billion, one hundred eleven million, five hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 97 103 194 206 291 309 388 412 582 618 821 1164 1236 1642 2463 3284 4926 9852 9991 10609 19982 21218 21839 29973 31827 39964 42436 43678 59946 63654 65517 79637 84563 87356 119892 127308 131034 159274 169126 238911 253689 262068 318548 338252 477822 507378 955644 1014756 1029073 2058146 2118383 2249417 3087219 4116292 4236766 4498834 6174438 6355149 6748251 8202611 8473532 8709989 8997668 12348876 12710298 13496502 16405222 17419978 17929819 24607833 25420596 26129967 26993004 32810444 34839956 35859638 49215666 52259934 53789457 71719276 98431332 104519868 107578914 215157828 218193449 231689951 436386898 463379902 654580347 695069853 844868933 872773796 926759804 1309160694 1390139706 1689737866 1739192443 1846771357 2534606799 2618321388 2780279412 3379475732 3478384886 3693542714 5069213598 5217577329 5540314071 6956769772 7387085428 10138427196 10435154658 11080628142 20870309316 22161256284 22473925247 44947850494 67421775741 89895700988 134843551482 179136821629 190217449771 269687102964 358273643258 380434899542 537410464887 570652349313 716547286516 760869799084 1074820929774 1141304698626 2149641859548 2282609397252 18451092627787 36902185255574 55353277883361 73804370511148 110706555766722 221413111533444