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22259656104196 = 227431215532
BaseRepresentation
bin1010000111110101110101…
…11001010001100100000100
32220211000001201002010111211
411003322322321101210010
510404200233430313241
6115201540030341204
74455131013010000
oct503727271214404
986730051063454
1022259656104196
1171022a3621075
1225b60a195a804
13c560cc2977c4
1456d531b23700
1528905875a781
hex143ebae51904

22259656104196 has 135 divisors (see below), whose sum is σ = 46987576682613. Its totient is φ = 9226170737280.

The previous prime is 22259656104181. The next prime is 22259656104239. The reversal of 22259656104196 is 69140165695222.

The square root of 22259656104196 is 4718014.

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

It can be written as a sum of positive squares in only one way, i.e., 2261444516100 + 19998211588096 = 1503810^2 + 4471936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22259656104196.

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, 14333325756 + ... + 14333327308.

Almost surely, 222259656104196 is an apocalyptic number.

22259656104196 is the 4718014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22259656104196

22259656104196 is an abundant number, since it is smaller than the sum of its proper divisors (24727920578417).

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

22259656104196 is an frugal number, since it uses more digits than its factorization.

22259656104196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 22259656104196 in words is "twenty-two trillion, two hundred fifty-nine billion, six hundred fifty-six million, one hundred four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 686 868 961 1372 1519 1553 1922 2401 3038 3106 3844 4802 6076 6212 6727 9604 10633 10871 13454 21266 21742 26908 42532 43484 47089 48143 74431 76097 94178 96286 148862 152194 188356 192572 297724 304388 329623 337001 532679 659246 674002 1065358 1318492 1348004 1492433 2130716 2307361 2359007 2411809 2984866 3728753 4614722 4718014 4823618 5969732 7457506 9229444 9436028 9647236 10447031 14915012 16513049 16882663 20894062 33026098 33765326 41788124 66052196 67530652 73129217 74766079 115591343 118178641 146258434 149532158 231182686 236357282 292516868 299064316 462365372 472714564 511904519 523362553 827250487 1023809038 1046725106 1654500974 2047618076 2093450212 2317748449 3309001948 3583331633 3663537871 4635496898 5790753409 7166663266 7327075742 9270993796 11581506818 14333326532 14654151484 16224239143 23163013636 25644765097 32448478286 51289530194 64896956572 102579060388 113569674001 179513355679 227139348002 359026711358 454278696004 718053422716 794987718007 1589975436014 3179950872028 5564914026049 11129828052098 22259656104196