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20222332312 = 237131012291201
BaseRepresentation
bin10010110101010110…
…000100110110011000
31221012022212220211211
4102311112010312120
5312403404113222
613142350432504
71314061663030
oct226526046630
957168786754
1020222332312
118637a85636
123b04502734
131ba3780b10
14d9ba3c8c0
157d5537277
hex4b5584d98

20222332312 has 128 divisors (see below), whose sum is σ = 47374185600. Its totient is φ = 7879680000.

The previous prime is 20222332289. The next prime is 20222332327. The reversal of 20222332312 is 21323322202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16837312 + ... + 16838512.

It is an arithmetic number, because the mean of its divisors is an integer number (370110825).

Almost surely, 220222332312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687092800).

20222332312 is an abundant number, since it is smaller than the sum of its proper divisors (27151853288).

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

20222332312 is a wasteful number, since it uses less digits than its factorization.

20222332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20222332312 its reverse (21323322202), we get a palindrome (41545654514).

The spelling of 20222332312 in words is "twenty billion, two hundred twenty-two million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 229 364 404 458 707 728 808 916 1201 1313 1414 1603 1832 2402 2626 2828 2977 3206 4804 5252 5656 5954 6412 8407 9191 9608 10504 11908 12824 15613 16814 18382 20839 23129 23816 31226 33628 36764 41678 46258 62452 67256 73528 83356 92516 109291 121301 124904 161903 166712 185032 218582 242602 275029 300677 323806 437164 485204 550058 601354 647612 849107 874328 970408 1100116 1202708 1295224 1576913 1698214 1925203 2104739 2200232 2405416 3153826 3396428 3575377 3850406 4209478 6307652 6792856 7150754 7700812 8418956 11038391 12615304 14301508 15401624 16837912 22076782 25027639 27777929 28603016 44153564 50055278 55555858 88307128 100110556 111111716 194445503 200221112 222223432 361113077 388891006 722226154 777782012 1444452308 1555564024 2527791539 2888904616 5055583078 10111166156 20222332312