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422223363322224 = 243293710181167081
BaseRepresentation
bin110000000000000101000100…
…1100101100011000101110000
32001100222011022011001220020120
41200000022021211203011300
5420320201422002302344
64053554422501210240
7154635426356250342
oct14000121145430560
92040864264056216
10422223363322224
11112595a17289482
123b431872100980
1315179652813129
147639a1129d292
1533c2eea592219
hex1800289963170

422223363322224 has 160 divisors (see below), whose sum is σ = 1170325428575040. Its totient is φ = 130906266624000.

The previous prime is 422223363322171. The next prime is 422223363322237.

422223363322224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35381637 + ... + 45785444.

It is an arithmetic number, because the mean of its divisors is an integer number (7314533928594).

Almost surely, 2422223363322224 is an apocalyptic number.

It is an amenable number.

422223363322224 is an abundant number, since it is smaller than the sum of its proper divisors (748102065252816).

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

422223363322224 is a wasteful number, since it uses less digits than its factorization.

422223363322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81167259 (or 81167253 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 42.

The spelling of 422223363322224 in words is "four hundred twenty-two trillion, two hundred twenty-three billion, three hundred sixty-three million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 101 111 116 148 174 202 222 232 296 303 348 404 444 464 592 606 696 808 888 1073 1212 1392 1616 1776 2146 2424 2929 3219 3737 4292 4848 5858 6438 7474 8584 8787 11211 11716 12876 14948 17168 17574 22422 23432 25752 29896 35148 44844 46864 51504 59792 70296 89688 108373 140592 179376 216746 325119 433492 650238 866984 1300476 1733968 2600952 5201904 81167081 162334162 243501243 324668324 487002486 649336648 974004972 1298673296 1948009944 2353845349 3003181997 3896019888 4707690698 6006363994 7061536047 8197875181 9009545991 9415381396 12012727988 14123072094 16395750362 18019091982 18830762792 24025455976 24593625543 28246144188 32791500724 36038183964 37661525584 48050911952 49187251086 56492288376 65583001448 72076367928 87092277913 98374502172 112984576752 131166002896 144152735856 174184555826 196749004344 237738380249 261276833739 303321381697 348369111652 393498008688 475476760498 522553667478 606642763394 696738223304 713215140747 909964145091 950953520996 1045107334956 1213285526788 1393476446608 1426430281494 1819928290182 1901907041992 2090214669912 2426571053576 2852860562988 3639856580364 3803814083984 4180429339824 4853142107152 5705721125976 7279713160728 8796320069213 11411442251952 14559426321456 17592640138426 26388960207639 35185280276852 52777920415278 70370560553704 105555840830556 140741121107408 211111681661112 422223363322224