Search a number
-
+
22122001002220 = 2257311892356941
BaseRepresentation
bin1010000011110101011100…
…00000101110111011101100
32220022211202021201102010121
411001322232000232323230
510344421324224032340
6115014412412014324
74442155543650040
oct501725600567354
986284667642117
1022122001002220
117059984934589
1225934854613a4
13c4613246aa42
145669d3ad0020
1528569d82894a
hex141eae02eeec

22122001002220 has 96 divisors (see below), whose sum is σ = 53270423571456. Its totient is φ = 7559317958400.

The previous prime is 22122001002191. The next prime is 22122001002229. The reversal of 22122001002220 is 2220010022122.

It is a junction number, because it is equal to n+sod(n) for n = 22122001002194 and 22122001002203.

It is not an unprimeable number, because it can be changed into a prime (22122001002229) 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 31 ways as a sum of consecutive naturals, for example, 388478950 + ... + 388535890.

It is an arithmetic number, because the mean of its divisors is an integer number (554900245536).

Almost surely, 222122001002220 is an apocalyptic number.

22122001002220 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 22122001002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26635211785728).

22122001002220 is an abundant number, since it is smaller than the sum of its proper divisors (31148422569236).

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

22122001002220 is a wasteful number, since it uses less digits than its factorization.

22122001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66191 (or 66189 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122001002220 its reverse (2220010022122), we get a palindrome (24342011024342).

The spelling of 22122001002220 in words is "twenty-two trillion, one hundred twenty-two billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 311 622 1244 1555 2177 3110 4354 6220 8708 8923 10885 17846 21770 35692 43540 44615 56941 62461 89230 113882 124922 178460 227764 249844 284705 312305 398587 569410 624610 797174 1138820 1249220 1594348 1992935 2775053 3985870 5550106 7971740 11100212 13875265 17708651 19425371 27750530 35417302 38850742 55501060 70834604 77701484 88543255 97126855 123960557 177086510 194253710 247921114 354173020 388507420 495842228 508084543 619802785 1016169086 1239605570 2032338172 2479211140 2540422715 3556591801 5080845430 7113183602 10161690860 14226367204 17782959005 35565918010 71131836020 158014292873 316028585746 632057171492 790071464365 1106100050111 1580142928730 2212200100222 3160285857460 4424400200444 5530500250555 11061000501110 22122001002220