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222907681161 = 341121922512
BaseRepresentation
bin1100111110011001010…
…1010100100110001001
3210022100211010110110000
43033212111110212021
512123003331244121
6250222525113213
722050601012314
oct3174625244611
9708324113400
10222907681161
1186597636100
123724b3b8809
1318035226ab9
14ab0861b97b
155be95ea526
hex33e6554989

222907681161 has 135 divisors (see below), whose sum is σ = 387831531549. Its totient is φ = 127475370000.

The previous prime is 222907681121. The next prime is 222907681181. The reversal of 222907681161 is 161186709222.

The square root of 222907681161 is 472131.

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

222907681161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222907681161 - 29 = 222907680649 is a prime.

It is a super-3 number, since 3×2229076811613 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (222907681121) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 888078286 + ... + 888078536.

Almost surely, 2222907681161 is an apocalyptic number.

222907681161 is the 472131-st square number.

222907681161 is the 236066-th centered octagonal number.

It is an amenable number.

222907681161 is a deficient number, since it is larger than the sum of its proper divisors (164923850388).

222907681161 is an equidigital number, since it uses as much as digits as its factorization.

222907681161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 222907681161 in words is "two hundred twenty-two billion, nine hundred seven million, six hundred eighty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 121 171 209 251 297 361 363 513 627 753 891 1083 1089 1539 1881 2259 2299 2761 3249 3267 3971 4769 5643 6777 6897 8283 9747 9801 11913 14307 16929 20331 20691 24849 29241 30371 35739 42921 43681 52459 62073 63001 74547 90611 91113 107217 128763 131043 157377 186219 189003 223641 271833 273339 321651 386289 393129 472131 567009 577049 693011 815499 820017 996721 1179387 1197019 1416393 1701027 1731147 2079033 2446497 2460051 2990163 3538161 3591057 4249179 5103081 5193441 6237099 7339491 7623121 8970489 10773171 10963931 13167209 15580323 18711297 22743361 22869363 26911467 32319513 32891793 39501627 46740969 56133891 68230083 68608089 80734401 96958539 98675379 118504881 144839299 204690249 205824267 250176971 296026137 355514643 434517897 614070747 617472801 750530913 888078411 1066543929 1303553691 1842212241 2251592739 2751946681 3910661073 6754778217 8255840043 11731983219 20264334651 24767520129 74302560387 222907681161