Search a number
-
+
20220386872 = 23719361863
BaseRepresentation
bin10010110101001110…
…101001111000111000
31221012012020002012111
4102311032221320320
5312402404334442
613142241022104
71314036311140
oct226516517070
957165202174
1020220386872
118636976a34
123b03924934
131ba324c47a
14d9b693920
157d52a0b17
hex4b53a9e38

20220386872 has 128 divisors (see below), whose sum is σ = 46539878400. Its totient is φ = 8065837440.

The previous prime is 20220386869. The next prime is 20220386903. The reversal of 20220386872 is 27868302202.

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, 23429913 + ... + 23430775.

It is an arithmetic number, because the mean of its divisors is an integer number (363592800).

Almost surely, 220220386872 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 20220386872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269939200).

20220386872 is an abundant number, since it is smaller than the sum of its proper divisors (26319491528).

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

20220386872 is an equidigital number, since it uses as much as digits as its factorization.

20220386872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 20220386872 in words is "twenty billion, two hundred twenty million, three hundred eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 122 133 152 244 266 361 427 488 532 722 854 863 1064 1159 1444 1708 1726 2318 2527 2888 3416 3452 4636 5054 6041 6859 6904 8113 9272 10108 12082 13718 16226 16397 20216 22021 24164 27436 32452 32794 44042 48013 48328 52643 54872 64904 65588 88084 96026 105286 114779 131176 154147 176168 192052 210572 229558 308294 311543 368501 384104 418399 421144 459116 616588 623086 737002 836798 918232 1000217 1233176 1246172 1474004 1673596 2000434 2180801 2492344 2928793 2948008 3347192 4000868 4361602 5857586 5919317 7001519 8001736 8723204 11715172 11838634 14003038 17446408 19004123 23430344 23677268 28006076 38008246 41435219 47354536 56012152 76016492 82870438 133028861 152032984 165740876 266057722 331481752 361078337 532115444 722156674 1064230888 1444313348 2527548359 2888626696 5055096718 10110193436 20220386872