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18220408340 = 22519269178247
BaseRepresentation
bin10000111110000001…
…010101111000010100
31202000210220122102112
4100332001111320110
5244303411031330
612211554330152
71213342626011
oct207601257024
952023818375
1018220408340
1177aaa44512
123645b89958
131944ab1b14
14c4bc02708
157198e4795
hex43e055e14

18220408340 has 48 divisors (see below), whose sum is σ = 40426646400. Its totient is φ = 6878869632.

The previous prime is 18220408163. The next prime is 18220408343. The reversal of 18220408340 is 4380402281.

It is a junction number, because it is equal to n+sod(n) for n = 18220408297 and 18220408306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18220408343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13097 + ... + 191343.

It is an arithmetic number, because the mean of its divisors is an integer number (842221800).

Almost surely, 218220408340 is an apocalyptic number.

18220408340 is a gapful number since it is divisible by the number (10) 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 18220408340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213323200).

18220408340 is an abundant number, since it is smaller than the sum of its proper divisors (22206238060).

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

18220408340 is a wasteful number, since it uses less digits than its factorization.

18220408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178544 (or 178542 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 18220408340 in words is "eighteen billion, two hundred twenty million, four hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 269 380 538 1076 1345 2690 5111 5380 10222 20444 25555 51110 102220 178247 356494 712988 891235 1782470 3386693 3564940 6773386 13546772 16933465 33866930 47948443 67733860 95896886 191793772 239742215 479484430 911020417 958968860 1822040834 3644081668 4555102085 9110204170 18220408340