Search a number
-
+
22112774109756 = 223211435849222023
BaseRepresentation
bin1010000011100100010000…
…00010111011101000111100
32220021221221020200201011200
411001302020002323220330
510344243430133003011
6115010245043415500
74441411104444651
oct501621002735074
986257836621150
1022112774109756
117055a7a562720
12259172b384590
13c452c19a8a65
1456639a4d5c28
1528530d77e856
hex141c880bba3c

22112774109756 has 144 divisors (see below), whose sum is σ = 62406683539200. Its totient is φ = 6543858666240.

The previous prime is 22112774109749. The next prime is 22112774109779. The reversal of 22112774109756 is 65790147721122.

It is a happy number.

22112774109756 is a `hidden beast` number, since 2 + 21 + 1 + 2 + 77 + 410 + 97 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99485761 + ... + 99707783.

It is an arithmetic number, because the mean of its divisors is an integer number (433379746800).

Almost surely, 222112774109756 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 22112774109756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31203341769600).

22112774109756 is an abundant number, since it is smaller than the sum of its proper divisors (40293909429444).

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

22112774109756 is a wasteful number, since it uses less digits than its factorization.

22112774109756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227936 (or 227931 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 22112774109756 in words is "twenty-two trillion, one hundred twelve billion, seven hundred seventy-four million, one hundred nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 5849 8514 11698 17028 17547 23396 35094 52641 64339 70188 105282 128678 193017 210564 222023 251507 257356 386034 444046 503014 579051 666069 754521 772068 888092 1006028 1158102 1332138 1509042 1998207 2263563 2316204 2442253 2664276 2766577 3018084 3996414 4527126 4884506 5533154 7326759 7992828 8299731 9054252 9546989 9769012 11066308 14653518 16599462 19093978 21980277 24899193 28640967 29307036 33198924 38187956 43960554 49798386 57281934 85922901 87921108 99596772 105016879 114563868 171845802 210033758 315050637 343691604 420067516 630101274 945151911 1260202548 1298612527 1890303822 2597225054 3780607644 3895837581 5194450108 7791675162 11687512743 14284737797 15583350324 23375025486 28569475594 42854213391 46750050972 55840338661 57138951188 85708426782 111680677322 128562640173 167521015983 171416853564 223361354644 257125280346 335042031966 502563047949 514250560692 614243725271 670084063932 1005126095898 1228487450542 1842731175813 2010252191796 2456974901084 3685462351626 5528193527439 7370924703252 11056387054878 22112774109756