Search a number
-
+
21222302112 = 25321161109819
BaseRepresentation
bin10011110000111100…
…101010000110100000
32000210000111122112100
4103300330222012200
5321430402131422
613425511330400
71350623406624
oct236074520640
960700448470
1021222302112
119000488760
124143380a00
1320029aa31b
14105477d184
1584320e7ac
hex4f0f2a1a0

21222302112 has 144 divisors (see below), whose sum is σ = 66917279520. Its totient is φ = 6325516800.

The previous prime is 21222302099. The next prime is 21222302131. The reversal of 21222302112 is 21120322212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×212223021122 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138339 + ... + 248157.

It is an arithmetic number, because the mean of its divisors is an integer number (464703330).

Almost surely, 221222302112 is an apocalyptic number.

21222302112 is a gapful number since it is divisible by the number (22) 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 21222302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33458639760).

21222302112 is an abundant number, since it is smaller than the sum of its proper divisors (45694977408).

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

21222302112 is a wasteful number, since it uses less digits than its factorization.

21222302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109907 (or 109896 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21222302112 its reverse (21120322212), we get a palindrome (42342624324).

The spelling of 21222302112 in words is "twenty-one billion, two hundred twenty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 732 792 976 1056 1098 1342 1464 1584 1952 2013 2196 2684 2928 3168 4026 4392 5368 5856 6039 8052 8784 10736 12078 16104 17568 21472 24156 32208 48312 64416 96624 109819 193248 219638 329457 439276 658914 878552 988371 1208009 1317828 1757104 1976742 2416018 2635656 3514208 3624027 3953484 4832036 5271312 6698959 7248054 7906968 9664072 10542624 10872081 13397918 14496108 15813936 19328144 20096877 21744162 26795836 28992216 31627872 38656288 40193754 43488324 53591672 57984432 60290631 73688549 80387508 86976648 107183344 115968864 120581262 147377098 160775016 173953296 214366688 221065647 241162524 294754196 321550032 347906592 442131294 482325048 589508392 643100064 663196941 884262588 964650096 1179016784 1326393882 1768525176 1929300192 2358033568 2652787764 3537050352 5305575528 7074100704 10611151056 21222302112