Search a number
-
+
2231222200020 = 2233511375626633
BaseRepresentation
bin100000011101111111001…
…101001110011011010100
321220022011201012122002000
4200131333031032123110
5243024020340400040
64425002003115300
7320125523530212
oct40357715163324
97808151178060
102231222200020
1179028a844a80
12300513972b30
131325322136c8
1479dc5447cb2
153d08c4ee130
hex2077f34e6d4

2231222200020 has 96 divisors (see below), whose sum is σ = 7572632941440. Its totient is φ = 540902350080.

The previous prime is 2231222200003. The next prime is 2231222200091. The reversal of 2231222200020 is 200022221322.

2231222200020 is a `hidden beast` number, since 223 + 1 + 222 + 200 + 0 + 20 = 666.

It is a super-3 number, since 3×22312222000203 (a number of 38 digits) contains 333 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 = 2231222199966 and 2231222200002.

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 31 ways as a sum of consecutive naturals, for example, 187807377 + ... + 187819256.

It is an arithmetic number, because the mean of its divisors is an integer number (78881593140).

Almost surely, 22231222200020 is an apocalyptic number.

2231222200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231222200020 is an abundant number, since it is smaller than the sum of its proper divisors (5341410741420).

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

2231222200020 is a wasteful number, since it uses less digits than its factorization.

2231222200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375626662 (or 375626654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2231222200020 its reverse (200022221322), we get a palindrome (2431244421342).

The spelling of 2231222200020 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-two million, two hundred thousand, 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 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 375626633 751253266 1126879899 1502506532 1878133165 2253759798 3380639697 3756266330 4131892963 4507519596 5634399495 6761279394 7512532660 8263785926 10141919091 11268798990 12395678889 13522558788 16527571852 16903198485 20283838182 20659464815 22537597980 24791357778 33806396970 37187036667 40567676364 41318929630 49582715556 50709595455 61978394445 67612793940 74374073334 82637859260 101419190910 111561110001 123956788890 148748146668 185935183335 202838381820 223122220002 247913577780 371870366670 446244440004 557805550005 743740733340 1115611100010 2231222200020