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22441342020 = 22352917374551
BaseRepresentation
bin10100111001100110…
…111011010001000100
32010220222100021220120
4110321212323101010
5331424440421040
614150455501540
71423055155056
oct247146732104
963828307816
1022441342020
119576609459
1244236878b0
132168409c06
14112c6278d6
158b525b7d0
hex5399bb444

22441342020 has 96 divisors (see below), whose sum is σ = 65379121920. Its totient is φ = 5744524800.

The previous prime is 22441342019. The next prime is 22441342081. The reversal of 22441342020 is 2024314422.

It is a super-2 number, since 2×224413420202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263745 + ... + 338295.

It is an arithmetic number, because the mean of its divisors is an integer number (681032520).

Almost surely, 222441342020 is an apocalyptic number.

22441342020 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 22441342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32689560960).

22441342020 is an abundant number, since it is smaller than the sum of its proper divisors (42937779900).

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

22441342020 is a wasteful number, since it uses less digits than its factorization.

22441342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74765 (or 74763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22441342020 its reverse (2024314422), we get a palindrome (24465656442).

The spelling of 22441342020 in words is "twenty-two billion, four hundred forty-one million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 173 174 290 346 348 435 519 580 692 865 870 1038 1730 1740 2076 2595 3460 5017 5190 10034 10380 15051 20068 25085 30102 50170 60204 74551 75255 100340 149102 150510 223653 298204 301020 372755 447306 745510 894612 1118265 1491020 2161979 2236530 4323958 4473060 6485937 8647916 10809895 12897323 12971874 21619790 25794646 25943748 32429685 38691969 43239580 51589292 64486615 64859370 77383938 128973230 129718740 154767876 193459845 257946460 374022367 386919690 748044734 773839380 1122067101 1496089468 1870111835 2244134202 3740223670 4488268404 5610335505 7480447340 11220671010 22441342020