Search a number
-
+
22100200212020 = 2257295443399067
BaseRepresentation
bin1010000011001100110101…
…00101010100011000110100
32220020202110221200112010112
411001212122211110120310
510344042202223241040
6115000405233242152
74440454364204660
oct501463245243064
986222427615115
1022100200212020
1170507079611a7
12258b200403358
13c44069987498
145659265a78a0
15284d2494a365
hex14199a954634

22100200212020 has 48 divisors (see below), whose sum is σ = 54869462605440. Its totient is φ = 7315928344704.

The previous prime is 22100200212019. The next prime is 22100200212023. The reversal of 22100200212020 is 2021200200122.

It is a super-2 number, since 2×221002002120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22100200211986 and 22100200212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100200212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721695474 + ... + 2721703593.

It is an arithmetic number, because the mean of its divisors is an integer number (1143113804280).

Almost surely, 222100200212020 is an apocalyptic number.

22100200212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100200212020 is an abundant number, since it is smaller than the sum of its proper divisors (32769262393420).

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

22100200212020 is a wasteful number, since it uses less digits than its factorization.

22100200212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443399112 (or 5443399110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100200212020 its reverse (2021200200122), we get a palindrome (24121400412142).

The spelling of 22100200212020 in words is "twenty-two trillion, one hundred billion, two hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5443399067 10886798134 21773596268 27216995335 38103793469 54433990670 76207586938 108867981340 152415173876 157858572943 190518967345 315717145886 381037934690 631434291772 762075869380 789292864715 1105010010601 1578585729430 2210020021202 3157171458860 4420040042404 5525050053005 11050100106010 22100200212020