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226254027126564 = 2232167929260915527
BaseRepresentation
bin110011011100011011011110…
…111010100111011100100100
31002200002200012011111012100100
4303130123132322213130210
5214123421221421022224
62121111355401344100
765441212465654263
oct6334333672473444
91080080164435310
10226254027126564
1166100880978858
1221461667a98030
1399328810c00c8
143dc2a792585da
151b255be509ac9
hexcdc6deea7724

226254027126564 has 144 divisors (see below), whose sum is σ = 576221756947200. Its totient is φ = 74852184465408.

The previous prime is 226254027126557. The next prime is 226254027126583. The reversal of 226254027126564 is 465621720452622.

226254027126564 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 5 + 4 + 0 + 2 + 71 + 2 + 6 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 226254027126564.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14571643369 + ... + 14571658895.

It is an arithmetic number, because the mean of its divisors is an integer number (4001539978800).

Almost surely, 2226254027126564 is an apocalyptic number.

It is an amenable number.

226254027126564 is an abundant number, since it is smaller than the sum of its proper divisors (349967729820636).

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

226254027126564 is a wasteful number, since it uses less digits than its factorization.

226254027126564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19242 (or 19237 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 226254027126564 in words is "two hundred twenty-six trillion, two hundred fifty-four billion, twenty-seven million, one hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 668 929 1002 1503 1858 2004 2609 2787 3006 3716 5218 5574 6012 7827 8361 10436 11148 15527 15654 16722 23481 31054 31308 33444 46581 46962 62108 93162 93924 139743 155143 186324 279486 310286 435703 465429 558972 620572 871406 930858 1307109 1396287 1742812 1861716 2423761 2593009 2614218 2792574 3921327 4847522 5186018 5228436 5585148 7271283 7779027 7842654 9695044 10372036 14424583 14542566 15558054 15685308 21813849 23337081 28849166 29085132 31116108 40509943 43273749 43627698 46674162 57698332 81019886 86547498 87255396 93348324 121529829 129821247 162039772 173094996 243059658 259642494 364589487 404768087 486119316 519284988 729178974 809536174 1214304261 1458357948 1619072348 2408905361 2428608522 3642912783 4817810722 4857217044 6765160481 7226716083 7285825566 9635621444 13530320962 14453432166 14571651132 20295481443 21680148249 27060641924 28906864332 37633737047 40590962886 43360296498 60886444329 75267474094 81181925772 86720592996 112901211141 121772888658 150534948188 225802422282 243545777316 338703633423 451604844564 677407266846 1354814533692 6284834086849 12569668173698 18854502260547 25139336347396 37709004521094 56563506781641 75418009042188 113127013563282 226254027126564