Search a number
-
+
22122021202220 = 2251989668997789
BaseRepresentation
bin1010000011110101011110…
…01101110010100100101100
32220022211210200201200022202
411001322233031302210230
510344421344411432340
6115014414413001032
74442156210441132
oct501725715624454
986284720650282
1022122021202220
1170599952810a5
122593490183178
13c461366c11c4
145669d666b752
152856a04b8c15
hex141eaf37292c

22122021202220 has 96 divisors (see below), whose sum is σ = 49458661560000. Its totient is φ = 8287565856768.

The previous prime is 22122021202219. The next prime is 22122021202291. The reversal of 22122021202220 is 2220212022122.

It is a super-3 number, since 3×221220212022203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22122021202192 and 22122021202201.

It is an unprimeable number.

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, 226173086 + ... + 226270874.

It is an arithmetic number, because the mean of its divisors is an integer number (515194391250).

Almost surely, 222122021202220 is an apocalyptic number.

22122021202220 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 22122021202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24729330780000).

22122021202220 is an abundant number, since it is smaller than the sum of its proper divisors (27336640357780).

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

22122021202220 is a wasteful number, since it uses less digits than its factorization.

22122021202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104595 (or 104593 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22122021202220 its reverse (2220212022122), we get a palindrome (24342233224342).

The spelling of 22122021202220 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1691 1780 3382 6689 6764 8455 13378 16910 26756 33445 33820 66890 97789 127091 133780 195578 254182 391156 488945 508364 595321 635455 977890 1190642 1270910 1857991 1955780 2381284 2541820 2976605 3715982 5953210 7431964 8703221 9289955 11311099 11906420 17406442 18579910 22622198 34812884 37159820 43516105 45244396 56555495 87032210 113110990 165361199 174064420 226221980 330722398 654110621 661444796 826805995 1308221242 1653611990 2616442484 3270553105 3307223980 6541106210 12428101799 13082212420 24856203598 49712407196 58215845269 62140508995 116431690538 124281017990 232863381076 248562035980 291079226345 582158452690 1106101060111 1164316905380 2212202120222 4424404240444 5530505300555 11061010601110 22122021202220