Search a number
-
+
22122010220020 = 2255083321759497
BaseRepresentation
bin1010000011110101011101…
…00011111001010111110100
32220022211202221001201120121
411001322232203321113310
510344421334104020040
6115014413341341324
74442156015211064
oct501725643712764
986284687051517
1022122010220020
11705998a05aaa7
122593488567844
13c46134347569
145669d500d3a4
1528569e549c4a
hex141eae8f95f4

22122010220020 has 24 divisors (see below), whose sum is σ = 46457137495944. Its totient is φ = 8848629605376.

The previous prime is 22122010220003. The next prime is 22122010220041. The reversal of 22122010220020 is 2002201022122.

It can be written as a sum of positive squares in 4 ways, for example, as 1111022224 + 22120899197796 = 33332^2 + 4703286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22122010219976 and 22122010220003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9863089 + ... + 11896408.

It is an arithmetic number, because the mean of its divisors is an integer number (1935714062331).

Almost surely, 222122010220020 is an apocalyptic number.

22122010220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122010220020 is an abundant number, since it is smaller than the sum of its proper divisors (24335127275924).

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

22122010220020 is a wasteful number, since it uses less digits than its factorization.

22122010220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21810339 (or 21810337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122010220020 its reverse (2002201022122), we get a palindrome (24124211242142).

The spelling of 22122010220020 in words is "twenty-two trillion, one hundred twenty-two billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 50833 101666 203332 254165 508330 1016660 21759497 43518994 87037988 108797485 217594970 435189940 1106100511001 2212201022002 4424402044004 5530502555005 11061005110010 22122010220020