Search a number
-
+
22020004404040 = 2358320993159853
BaseRepresentation
bin1010000000110111011101…
…00010100101101101001000
32212222002110222010101002011
411000123232202211231020
510341233432111412130
6114455503402545304
74431615144115426
oct500335642455510
985862428111064
1022020004404040
11701a6a4475745
12257775ab08234
13c39629105476
14561ab981c116
15282bce19e52a
hex1406ee8a5b48

22020004404040 has 64 divisors (see below), whose sum is σ = 50165842104000. Its totient is φ = 8697732778752.

The previous prime is 22020004404007. The next prime is 22020004404071. The reversal of 22020004404040 is 4040440002022.

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, 5388754 + ... + 8548606.

It is an arithmetic number, because the mean of its divisors is an integer number (783841282875).

Almost surely, 222020004404040 is an apocalyptic number.

22020004404040 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 22020004404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082921052000).

22020004404040 is an abundant number, since it is smaller than the sum of its proper divisors (28145837699960).

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

22020004404040 is a wasteful number, since it uses less digits than its factorization.

22020004404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162046 (or 3162042 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22020004404040 its reverse (4040440002022), we get a palindrome (26060444406062).

The spelling of 22020004404040 in words is "twenty-two trillion, twenty billion, four million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 2099 3320 4198 8396 10495 16792 20990 41980 83960 174217 348434 696868 871085 1393736 1742170 3159853 3484340 6319706 6968680 12639412 15799265 25278824 31598530 63197060 126394120 262267799 524535598 1049071196 1311338995 2098142392 2622677990 5245355980 6632531447 10490711960 13265062894 26530125788 33162657235 53060251576 66325314470 132650628940 265301257880 550500110101 1101000220202 2202000440404 2752500550505 4404000880808 5505001101010 11010002202020 22020004404040