Search a number
-
+
220022221122 = 232118322758979
BaseRepresentation
bin1100110011101001011…
…0001010100101000010
3210000220201121220101200
43030322112022211002
512101101142033442
6245024331442030
721616233010344
oct3147226124502
9700821556350
10220022221122
1185346898290
1236784bb6316
13179954a71b2
14a91330d294
155acb12e34c
hex333a58a942

220022221122 has 96 divisors (see below), whose sum is σ = 528645761280. Its totient is φ = 65578817760.

The previous prime is 220022221063. The next prime is 220022221123. The reversal of 220022221122 is 221122220022.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220022221095 and 220022221104.

It is not an unprimeable number, because it can be changed into a prime (220022221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701029 + ... + 3760007.

It is an arithmetic number, because the mean of its divisors is an integer number (5506726680).

Almost surely, 2220022221122 is an apocalyptic number.

220022221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264322880640).

220022221122 is an abundant number, since it is smaller than the sum of its proper divisors (308623540158).

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

220022221122 is a wasteful number, since it uses less digits than its factorization.

220022221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59308 (or 59305 counting only the distinct ones).

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

Adding to 220022221122 its reverse (221122220022), we get a palindrome (441144441144).

It can be divided in two parts, 220022 and 221122, that added together give a palindrome (441144).

The spelling of 220022221122 in words is "two hundred twenty billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 227 249 454 498 681 747 913 1362 1494 1826 2043 2497 2739 4086 4994 5478 7491 8217 14982 16434 18841 22473 37682 44946 56523 58979 113046 117958 169569 176937 207251 339138 353874 414502 530811 621753 648769 1061622 1243506 1297538 1865259 1946307 3730518 3892614 4895257 5838921 9790514 11677842 13388233 14685771 26776466 29371542 40164699 44057313 53847827 80329398 88114626 107695654 120494097 147270563 161543481 240988194 294541126 323086962 441811689 484630443 883623378 969260886 1111223339 1325435067 2222446678 2650870134 3333670017 6667340034 10001010051 12223456729 20002020102 24446913458 36670370187 73340740374 110011110561 220022221122