Search a number
-
+
20222201102220 = 223251371291212227
BaseRepresentation
bin1001001100100010110010…
…00111001111111110001100
32122121020000222001001000100
410212101121013033332030
510122310031440232340
6111001541222531100
74155001665152265
oct446213107177614
978536028031010
1020222201102220
11649720736a9a7
122327246296a90
13b38c3a006a90
144dca8caab96c
1525105c40e830
hex1264591cff8c

20222201102220 has 144 divisors (see below), whose sum is σ = 66068511032160. Its totient is φ = 4977070230528.

The previous prime is 20222201102177. The next prime is 20222201102221. The reversal of 20222201102220 is 2220110222202.

20222201102220 is a `hidden beast` number, since 20 + 222 + 201 + 1 + 0 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20222201102193 and 20222201102202.

It is not an unprimeable number, because it can be changed into a prime (20222201102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16075747 + ... + 17287973.

It is an arithmetic number, because the mean of its divisors is an integer number (458809104390).

Almost surely, 220222201102220 is an apocalyptic number.

20222201102220 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 20222201102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33034255516080).

20222201102220 is an abundant number, since it is smaller than the sum of its proper divisors (45846309929940).

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

20222201102220 is a wasteful number, since it uses less digits than its factorization.

20222201102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219384 (or 1219379 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20222201102220 its reverse (2220110222202), we get a palindrome (22442311324422).

The spelling of 20222201102220 in words is "twenty trillion, two hundred twenty-two billion, two hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 7129 14258 21387 28516 35645 42774 64161 71290 85548 92677 106935 128322 142580 185354 213870 256644 278031 320805 370708 427740 463385 556062 641610 834093 926770 1112124 1212227 1283220 1390155 1668186 1853540 2424454 2780310 3336372 3636681 4170465 4848908 5560620 6061135 7273362 8340930 10910043 12122270 14546724 15758951 16681860 18183405 21820086 24244540 31517902 36366810 43640172 47276853 54550215 63035804 72733620 78794755 94553706 109100430 141830559 157589510 189107412 218200860 236384265 283661118 315179020 472768530 567322236 709152795 945537060 1418305590 2836611180 8641966283 17283932566 25925898849 34567865132 43209831415 51851797698 77777696547 86419662830 103703595396 112345561679 129629494245 155555393094 172839325660 224691123358 259258988490 311110786188 337036685037 388888482735 449382246716 518517976980 561727808395 674073370074 777776965470 1011110055111 1123455616790 1348146740148 1555553930940 1685183425185 2022220110222 2246911233580 3370366850370 4044440220444 5055550275555 6740733700740 10111100551110 20222201102220