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222081466150404 = 2234721182732
BaseRepresentation
bin110010011111101101011110…
…111001101010111000000100
31002010022210002012212122110000
4302133231132321222320010
5213102040320313303104
62104154452255001300
764530566521603200
oct6237553671527004
91063283065778400
10222081466150404
1164842247a987a3
1220aa8a61809230
1396bc26690bab3
143cbab2c0bbb00
151aa1cade81639
hexc9fb5ee6ae04

222081466150404 has 135 divisors (see below), whose sum is σ = 675356623748037. Its totient is φ = 63451310985216.

The previous prime is 222081466150391. The next prime is 222081466150441. The reversal of 222081466150404 is 404051664180222.

The square root of 222081466150404 is 14902398.

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

222081466150404 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 81 + 4 + 6 + 61 + 504 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81059951088900 + 141021515061504 = 9003330^2 + 11875248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222081466150404.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1877643012 + ... + 1877761284.

Almost surely, 2222081466150404 is an apocalyptic number.

222081466150404 is the 14902398-th square number.

It is an amenable number.

222081466150404 is an abundant number, since it is smaller than the sum of its proper divisors (453275157597633).

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

222081466150404 is an frugal number, since it uses more digits than its factorization.

222081466150404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236576 (or 118285 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 222081466150404 in words is "two hundred twenty-two trillion, eighty-one billion, four hundred sixty-six million, one hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 118273 236546 354819 473092 709638 827911 1064457 1419276 1655822 2128914 2483733 3193371 3311644 4257828 4967466 5795377 6386742 7451199 9580113 9934932 11590754 12773484 14902398 17386131 19160226 22353597 23181508 29804796 34772262 38320452 44707194 52158393 67060791 69544524 89414388 104316786 134121582 156475179 208633572 268243164 312950358 469425537 625900716 938851074 1877702148 13988502529 27977005058 41965507587 55954010116 83931015174 97919517703 125896522761 167862030348 195839035406 251793045522 293758553109 377689568283 391678070812 503586091044 587517106218 685436623921 755379136566 881275659327 1133068704849 1175034212436 1370873247842 1510758273132 1762551318654 2056309871763 2266137409698 2643826977981 2741746495684 3525102637308 4112619743526 4532274819396 5287653955962 6168929615289 7931480933943 8225239487052 10575307911924 12337859230578 15862961867886 18506788845867 24675718461156 31725923735772 37013577691734 55520366537601 74027155383468 111040733075202 222081466150404