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20220320340 = 223251119751839
BaseRepresentation
bin10010110101001110…
…011001101001010100
31221012012002200221100
4102311032121221110
5312402400222330
613142235350100
71314035613153
oct226516315124
957165080840
1020220320340
118636930a50
123b038b2330
131ba32280bc
14d9b67759a
157d528b060
hex4b5399a54

20220320340 has 144 divisors (see below), whose sum is σ = 67251824640. Its totient is φ = 4876919040.

The previous prime is 20220320249. The next prime is 20220320357. The reversal of 20220320340 is 4302302202.

20220320340 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 0 + 320 + 340 = 666.

It is a super-2 number, since 2×202203203402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 364141 + ... + 415979.

It is an arithmetic number, because the mean of its divisors is an integer number (467026560).

Almost surely, 220220320340 is an apocalyptic number.

20220320340 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 20220320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33625912320).

20220320340 is an abundant number, since it is smaller than the sum of its proper divisors (47031504300).

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

20220320340 is a wasteful number, since it uses less digits than its factorization.

20220320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52062 (or 52057 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20220320340 its reverse (4302302202), we get a palindrome (24522622542).

The spelling of 20220320340 in words is "twenty billion, two hundred twenty million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 197 198 220 330 394 396 495 591 660 788 985 990 1182 1773 1970 1980 2167 2364 2955 3546 3940 4334 5910 6501 7092 8668 8865 10835 11820 13002 17730 19503 21670 26004 32505 35460 39006 43340 51839 65010 78012 97515 103678 130020 155517 195030 207356 259195 311034 390060 466551 518390 570229 622068 777585 933102 1036780 1140458 1555170 1710687 1866204 2280916 2332755 2851145 3110340 3421374 4665510 5132061 5702290 6842748 8553435 9331020 10212283 10264122 11404580 17106870 20424566 20528244 25660305 30636849 34213740 40849132 51061415 51320610 61273698 91910547 102122830 102641220 112335113 122547396 153184245 183821094 204245660 224670226 306368490 337005339 367642188 449340452 459552735 561675565 612736980 674010678 919105470 1011016017 1123351130 1348021356 1685026695 1838210940 2022032034 2246702260 3370053390 4044064068 5055080085 6740106780 10110160170 20220320340