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22190669557756 = 22719791447364891
BaseRepresentation
bin1010000101110101010101…
…11110011110111111111100
32220120101222220201110120021
411002322222332132333330
510402032442401322011
6115110130341301524
74450136323023310
oct502725276367774
986511886643507
1022190669557756
117086012501727
1225a484a4048a4
13c4c756abab1b
1456a06995bb40
1528736c0d7471
hex142eaaf9effc

22190669557756 has 96 divisors (see below), whose sum is σ = 47341379993600. Its totient is φ = 8889526077120.

The previous prime is 22190669557751. The next prime is 22190669557799. The reversal of 22190669557756 is 65775596609122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22190669557751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60632071 + ... + 60996961.

Almost surely, 222190669557756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22190669557756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670689996800).

22190669557756 is an abundant number, since it is smaller than the sum of its proper divisors (25150710435844).

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

22190669557756 is a wasteful number, since it uses less digits than its factorization.

22190669557756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366447 (or 366445 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 70.

The spelling of 22190669557756 in words is "twenty-two trillion, one hundred ninety billion, six hundred sixty-nine million, five hundred fifty-seven thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 79 133 158 266 316 532 553 1106 1447 1501 2212 2894 3002 5788 6004 10129 10507 20258 21014 27493 40516 42028 54986 109972 114313 192451 228626 364891 384902 457252 729782 769804 800191 1459564 1600382 2171947 2554237 3200764 4343894 5108474 6932929 8687788 10216948 13865858 15203629 27731716 28826389 30407258 48530503 57652778 60814516 97061006 115305556 194122012 201784723 403569446 527997277 547701391 807138892 1055994554 1095402782 2111989108 2190805564 3695980939 3833909737 7391961878 7667819474 10031948263 14783923756 15335638948 20063896526 40127793052 41711784883 70223637841 83423569766 140447275682 166847139532 280894551364 291982494181 583964988362 792523912777 1167929976724 1585047825554 3170095651108 5547667389439 11095334778878 22190669557756