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22197487839241 = 1121324727012
BaseRepresentation
bin1010000110000010000010…
…11000001010100000001001
32220121001121002112001102011
411003001001120022200021
510402140423341323431
6115113215104535521
74450500304326061
oct503010130124011
986531532461364
1022197487839241
1170889a121a500
1225a60319215a1
13c502a256a900
1456a5152d43a1
1528761a9a8cb1
hex14304160a809

22197487839241 has 81 divisors (see below), whose sum is σ = 27032754627669. Its totient is φ = 18204930744000.

The previous prime is 22197487839143. The next prime is 22197487839253. The reversal of 22197487839241 is 14293878479122.

The square root of 22197487839241 is 4711421.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4871342025 + 22192616497216 = 69795^2 + 4710904^2 .

It is not a de Polignac number, because 22197487839241 - 211 = 22197487837193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22197487839641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31665460191 + ... + 31665460891.

Almost surely, 222197487839241 is an apocalyptic number.

22197487839241 is the 4711421-st square number.

22197487839241 is the 2355711-st centered octagonal number.

It is an amenable number.

22197487839241 is a deficient number, since it is larger than the sum of its proper divisors (4835266788428).

22197487839241 is an frugal number, since it uses more digits than its factorization.

22197487839241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 772 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 67.

The spelling of 22197487839241 in words is "twenty-two trillion, one hundred ninety-seven billion, four hundred eighty-seven million, eight hundred thirty-nine thousand, two hundred forty-one".

Divisors: 1 11 13 47 121 143 169 517 611 701 1573 1859 2209 5687 6721 7711 7943 9113 20449 24299 28717 32947 73931 84821 87373 100243 118469 267289 315887 362417 373321 428311 491401 961103 1102673 1303159 1548509 3474757 3986587 4106531 4711421 5405411 5568043 6388213 14334749 17033599 20130617 23095847 45171841 51825631 59459521 61248473 70270343 83046769 187369589 221436787 254054317 261698021 300246011 673733203 772973773 913514459 1085504809 2435804657 2794597487 2878678231 3302706121 3903198143 10048659049 11940552899 14111562517 31665460541 36329767331 42935179573 131346081889 155227187687 183450312721 472286975303 1707499064557 2017953439931 22197487839241