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212222200055742 = 23419101761897049
BaseRepresentation
bin110000010000001111010100…
…110110010000011110111110
31000211102020121000022112020000
4300100033110312100132332
5210304022031203240432
62031205311025535130
762462355645541602
oct6020172466203676
91024366530275200
10212222200055742
1161690a25345858
121b9761014a44a6
1391556103c6396
143a59875c5d502
1519805be3cd57c
hexc103d4d907be

212222200055742 has 160 divisors (see below), whose sum is σ = 506184001092000. Its totient is φ = 66266729856000.

The previous prime is 212222200055729. The next prime is 212222200055809. The reversal of 212222200055742 is 247550002222212.

212222200055742 is a `hidden beast` number, since 2 + 1 + 22 + 22 + 20 + 0 + 0 + 557 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212222200055697 and 212222200055706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236129634 + ... + 237026682.

It is an arithmetic number, because the mean of its divisors is an integer number (3163650006825).

Almost surely, 2212222200055742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222200055742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253092000546000).

212222200055742 is an abundant number, since it is smaller than the sum of its proper divisors (293961801036258).

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

212222200055742 is a wasteful number, since it uses less digits than its factorization.

212222200055742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897944 (or 897935 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 212222200055742 its reverse (247550002222212), we get a palindrome (459772202277954).

The spelling of 212222200055742 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred million, fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 101 114 162 171 202 303 342 513 606 761 909 1026 1522 1539 1818 1919 2283 2727 3078 3838 4566 5454 5757 6849 8181 11514 13698 14459 16362 17271 20547 28918 34542 41094 43377 51813 61641 76861 86754 103626 123282 130131 153722 155439 230583 260262 310878 390393 461166 691749 780786 897049 1171179 1383498 1460359 1794098 2075247 2342358 2691147 2920718 4150494 4381077 5382294 6225741 8073441 8762154 12451482 13143231 16146882 17043931 24220323 26286462 34087862 39429693 48440646 51131793 72660969 78859386 90601949 102263586 118289079 145321938 153395379 181203898 236578158 271805847 306790758 460186137 543611694 682654289 815417541 920372274 1365308578 1380558411 1630835082 1721437031 2047962867 2446252623 2761116822 3442874062 4095925734 4892505246 5164311093 6143888601 7338757869 10328622186 12287777202 12970431491 14677515738 15492933279 18431665803 25940862982 30985866558 36863331606 38911294473 46478799837 55294997409 68948083189 77822588946 92957599674 110589994818 116733883419 137896166378 139436399511 206844249567 233467766838 278872799022 350201650257 413688499134 620532748701 700403300514 1050604950771 1241065497402 1310013580591 1861598246103 2101209901542 2620027161182 3723196492206 3930040741773 5584794738309 7860081483546 11169589476618 11790122225319 23580244450638 35370366675957 70740733351914 106111100027871 212222200055742