Search a number
-
+
22022002220220 = 223556571689587
BaseRepresentation
bin1010000000111011001011…
…00111101001110010111100
32212222021122012100221200000
411000131211213221302330
510341302030032021340
6114500433531034300
74432015513223412
oct500354547516274
985867565327600
1022022002220220
11702052a1605a2
122578017b9b990
13c39886c96812
14561c28ca92b2
15282c9977ed30
hex1407659e9cbc

22022002220220 has 144 divisors (see below), whose sum is σ = 69284793072768. Its totient is φ = 5871631705920.

The previous prime is 22022002220201. The next prime is 22022002220237. The reversal of 22022002220220 is 2202220022022.

22022002220220 is a `hidden beast` number, since 2 + 2 + 0 + 220 + 0 + 2 + 220 + 220 = 666.

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 = 22022002220193 and 22022002220202.

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 47 ways as a sum of consecutive naturals, for example, 31590267 + ... + 32279853.

Almost surely, 222022002220220 is an apocalyptic number.

22022002220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022002220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34642396536384).

22022002220220 is an abundant number, since it is smaller than the sum of its proper divisors (47262790852548).

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

22022002220220 is a wasteful number, since it uses less digits than its factorization.

22022002220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696182 (or 696168 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22022002220220 its reverse (2202220022022), we get a palindrome (24224222242242).

The spelling of 22022002220220 in words is "twenty-two trillion, twenty-two billion, two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 6571 13142 19713 26284 32855 39426 59139 65710 78852 98565 118278 131420 177417 197130 236556 295695 354834 394260 532251 591390 689587 709668 887085 1064502 1182780 1379174 1596753 1774170 2068761 2129004 2661255 2758348 3193506 3447935 3548340 4137522 5322510 6206283 6387012 6895870 7983765 8275044 10343805 10645020 12412566 13791740 15967530 18618849 20687610 24825132 31031415 31935060 37237698 41375220 55856547 62062830 74475396 93094245 111713094 124125660 167569641 186188490 223426188 279282735 335139282 372376980 558565470 670278564 837848205 1117130940 1675696410 3351392820 4531276177 9062552354 13593828531 18125104708 22656380885 27187657062 40781485593 45312761770 54375314124 67969142655 81562971186 90625523540 122344456779 135938285310 163125942372 203907427965 244688913558 271876570620 367033370337 407814855930 489377827116 611722283895 734066740674 815629711860 1101100111011 1223444567790 1468133481348 1835166851685 2202200222022 2446889135580 3670333703370 4404400444044 5505500555055 7340667406740 11011001110110 22022002220220