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22022021120020 = 22517208931005577
BaseRepresentation
bin1010000000111011001101…
…01111110000000000010100
32212222021200111221011022121
411000131212233300000110
510341302044401320040
6114500435444105324
74432016132661025
oct500354657600024
985867614834277
1022022021120020
11702053989a269
122578022395244
13c3988ab8322c
14561c2b5c8c4c
15282c9b264c4a
hex140766bf0014

22022021120020 has 48 divisors (see below), whose sum is σ = 48990053463120. Its totient is φ = 8286674264064.

The previous prime is 22022021119993. The next prime is 22022021120051. The reversal of 22022021120020 is 2002112022022.

It can be written as a sum of positive squares in 8 ways, for example, as 1056446842896 + 20965574277124 = 1027836^2 + 4578818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22022021119976 and 22022021120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14792529 + ... + 16213048.

It is an arithmetic number, because the mean of its divisors is an integer number (1020626113815).

Almost surely, 222022021120020 is an apocalyptic number.

22022021120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022021120020 is an abundant number, since it is smaller than the sum of its proper divisors (26968032343100).

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

22022021120020 is a wasteful number, since it uses less digits than its factorization.

22022021120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31007692 (or 31007690 counting only the distinct ones).

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

Adding to 22022021120020 its reverse (2002112022022), we get a palindrome (24024133142042).

The spelling of 22022021120020 in words is "twenty-two trillion, twenty-two billion, twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2089 4178 8356 10445 20890 35513 41780 71026 142052 177565 355130 710260 31005577 62011154 124022308 155027885 310055770 527094809 620111540 1054189618 2108379236 2635474045 5270948090 10541896180 64770650353 129541300706 259082601412 323853251765 647706503530 1101101056001 1295413007060 2202202112002 4404404224004 5505505280005 11011010560010 22022021120020