Search a number
-
+
22221120220 = 22513831815689
BaseRepresentation
bin10100101100011110…
…110110001011011100
32010100121221212101121
4110230132312023130
5331002101321340
614112551420324
71414442256025
oct245436661334
963317855347
1022221120220
119473274572
1243819846a4
1321318c2560
14110b29dc4c
158a0c5a94a
hex52c7b62dc

22221120220 has 96 divisors (see below), whose sum is σ = 51149367360. Its totient is φ = 8059668480.

The previous prime is 22221120209. The next prime is 22221120221. The reversal of 22221120220 is 2202112222.

It is a junction number, because it is equal to n+sod(n) for n = 22221120194 and 22221120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3903136 + ... + 3908824.

It is an arithmetic number, because the mean of its divisors is an integer number (532805910).

Almost surely, 222221120220 is an apocalyptic number.

22221120220 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 22221120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574683680).

22221120220 is an abundant number, since it is smaller than the sum of its proper divisors (28928247140).

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

22221120220 is a wasteful number, since it uses less digits than its factorization.

22221120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5973 counting only the distinct ones).

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

Adding to 22221120220 its reverse (2202112222), we get a palindrome (24423232442).

The spelling of 22221120220 in words is "twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 181 260 332 362 415 724 830 905 1079 1660 1810 2158 2353 3620 4316 4706 5395 5689 9412 10790 11378 11765 15023 21580 22756 23530 28445 30046 47060 56890 60092 73957 75115 113780 147914 150230 195299 295828 300460 369785 390598 472187 739570 781196 944374 976495 1029709 1479140 1888748 1952990 2059418 2360935 3905980 4118836 4721870 5148545 6138431 9443740 10297090 12276862 13386217 20594180 24553724 26772434 30692155 53544868 61384310 66931085 85465847 122768620 133862170 170931694 267724340 341863388 427329235 854658470 1111056011 1709316940 2222112022 4444224044 5555280055 11110560110 22221120220