Search a number
-
+
20222134440 = 23351719795009
BaseRepresentation
bin10010110101010101…
…010100100010101000
31221012022111212102020
4102311111110202220
5312403331300230
613142342304440
71314060210114
oct226525244250
957168455366
1020222134440
11863795aa02
123b04428120
131ba3711a31
14d9b9ca744
157d54e8810
hex4b55548a8

20222134440 has 128 divisors (see below), whose sum is σ = 64280304000. Its totient is φ = 5071781888.

The previous prime is 20222134417. The next prime is 20222134441. The reversal of 20222134440 is 4443122202.

It is a super-2 number, since 2×202221344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20222134440.

It is not an unprimeable number, because it can be changed into a prime (20222134441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4034656 + ... + 4039664.

It is an arithmetic number, because the mean of its divisors is an integer number (502189875).

Almost surely, 220222134440 is an apocalyptic number.

20222134440 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 20222134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140152000).

20222134440 is an abundant number, since it is smaller than the sum of its proper divisors (44058169560).

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

20222134440 is a wasteful number, since it uses less digits than its factorization.

20222134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7015 counting only the distinct ones).

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

Adding to 20222134440 its reverse (4443122202), we get a palindrome (24665256642).

The spelling of 20222134440 in words is "twenty billion, two hundred twenty-two million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1979 2040 3958 5009 5937 7916 9895 10018 11874 15027 15832 19790 20036 23748 25045 29685 30054 33643 39580 40072 47496 50090 59370 60108 67286 75135 79160 85153 100180 100929 118740 120216 134572 150270 168215 170306 200360 201858 237480 255459 269144 300540 336430 340612 403716 425765 504645 510918 601080 672860 681224 807432 851530 1009290 1021836 1277295 1345720 1703060 2018580 2043672 2554590 3406120 4037160 5109180 9912811 10218360 19825622 29738433 39651244 49564055 59476866 79302488 99128110 118953732 148692165 168517787 198256220 237907464 297384330 337035574 396512440 505553361 594768660 674071148 842588935 1011106722 1189537320 1348142296 1685177870 2022213444 2527766805 3370355740 4044426888 5055533610 6740711480 10111067220 20222134440