Search a number
-
+
22211002220220 = 22335112339929633
BaseRepresentation
bin1010000110011011001101…
…11001011011111010111100
32220122100110221012201221000
411003031212321123322330
510402401113032021340
6115123332113010300
74451456224554522
oct503154671337274
986570427181830
1022211002220220
1170936a6793a00
1225a8783853990
13c5164738b348
1456b0380ba312
15287b5c164d30
hex143366e5bebc

22211002220220 has 144 divisors (see below), whose sum is σ = 75953877420960. Its totient is φ = 5384485370880.

The previous prime is 22211002220219. The next prime is 22211002220243. The reversal of 22211002220220 is 2202220011222.

22211002220220 is a `hidden beast` number, since 2 + 221 + 1 + 0 + 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 = 22211002220193 and 22211002220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169899477 + ... + 170030156.

It is an arithmetic number, because the mean of its divisors is an integer number (527457482090).

Almost surely, 222211002220220 is an apocalyptic number.

22211002220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211002220220 is an abundant number, since it is smaller than the sum of its proper divisors (53742875200740).

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

22211002220220 is a wasteful number, since it uses less digits than its factorization.

22211002220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339929673 (or 339929654 counting only the distinct ones).

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

Adding to 22211002220220 its reverse (2202220011222), we get a palindrome (24413222231442).

The spelling of 22211002220220 in words is "twenty-two trillion, two hundred eleven billion, two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 65340 339929633 679859266 1019788899 1359718532 1699648165 2039577798 3059366697 3399296330 3739225963 4079155596 5098944495 6118733394 6798592660 7478451926 9178100091 10197888990 11217677889 12237466788 14956903852 15296833485 18356200182 18696129815 20395777980 22435355778 30593666970 33653033667 36712400364 37392259630 41131485593 44870711556 45890500455 56088389445 61187333940 67306067334 74784519260 82262971186 91781000910 100959101001 112176778890 123394456779 134612134668 164525942372 168265168335 183562001820 201918202002 205657427965 224353557780 246788913558 336530336670 370183370337 403836404004 411314855930 493577827116 504795505005 616972283895 673060673340 740366740674 822629711860 1009591010010 1110550111011 1233944567790 1480733481348 1850916851685 2019182020020 2221100222022 2467889135580 3701833703370 4442200444044 5552750555055 7403667406740 11105501110110 22211002220220