Search a number
-
+
22022020112022 = 23272171468722163
BaseRepresentation
bin1010000000111011001101…
…01011111001111010010110
32212222021200110000221121100
411000131212223321322112
510341302044122041042
6114500435410330530
74432016121262200
oct500354653717226
985867613027540
1022022020112022
117020539270a07
122578021b89a46
13c3988a8bc498
14561c2b405770
15282c9b11624c
hex140766af9e96

22022020112022 has 72 divisors (see below), whose sum is σ = 58769448670296. Its totient is φ = 5921887757184.

The previous prime is 22022020112017. The next prime is 22022020112051. The reversal of 22022020112022 is 22021102022022.

22022020112022 is a `hidden beast` number, since 220 + 220 + 20 + 1 + 1 + 202 + 2 = 666.

It is a super-2 number, since 2×220220201120222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22022020111986 and 22022020112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734346088 + ... + 734376075.

It is an arithmetic number, because the mean of its divisors is an integer number (816242342643).

Almost surely, 222022020112022 is an apocalyptic number.

22022020112022 is an abundant number, since it is smaller than the sum of its proper divisors (36747428558274).

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

22022020112022 is a wasteful number, since it uses less digits than its factorization.

22022020112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468722202 (or 1468722192 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022020112022 its reverse (22021102022022), we get a palindrome (44043122134044).

Subtracting from 22022020112022 its reverse (22021102022022), we obtain a square (918090000 = 303002).

The spelling of 22022020112022 in words is "twenty-two trillion, twenty-two billion, twenty million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 1468722163 2937444326 4406166489 8812332978 10281055141 13218499467 20562110282 24968276771 26436998934 30843165423 49936553542 61686330846 71967385987 74904830313 92529496269 143934771974 149809660626 174777937397 185058992538 215902157961 224714490939 349555874794 431804315922 449428981878 524333812191 647706473883 1048667624382 1223445561779 1295412947766 1573001436573 2446891123558 3146002873146 3670336685337 7340673370674 11011010056011 22022020112022