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2322211232020 = 2252329376946187
BaseRepresentation
bin100001110010101110100…
…100110101100100010100
322020000000220010101001011
4201302232210311210110
5301021342033411040
64534450433542004
7326526362534041
oct41625644654424
98200026111034
102322211232020
11815931778489
12316087a14904
1313aca2c02804
148057783a1c8
15406155e23ea
hex21cae935914

2322211232020 has 96 divisors (see below), whose sum is σ = 5265653702400. Its totient is φ = 857614162944.

The previous prime is 2322211232017. The next prime is 2322211232027. The reversal of 2322211232020 is 202321122232.

It is a super-2 number, since 2×23222112320202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2322211231982 and 2322211232000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322211232027) 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 31 ways as a sum of consecutive naturals, for example, 50255367 + ... + 50301553.

It is an arithmetic number, because the mean of its divisors is an integer number (54850559400).

Almost surely, 22322211232020 is an apocalyptic number.

2322211232020 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 2322211232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632826851200).

2322211232020 is an abundant number, since it is smaller than the sum of its proper divisors (2943442470380).

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

2322211232020 is a wasteful number, since it uses less digits than its factorization.

2322211232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50017 (or 50015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2322211232020 its reverse (202321122232), we get a palindrome (2524532354252).

The spelling of 2322211232020 in words is "two trillion, three hundred twenty-two billion, two hundred eleven million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 3769 6670 7538 13340 15076 18845 37690 46187 75380 86687 92374 109301 173374 184748 218602 230935 346748 433435 437204 461870 546505 866870 923740 1062301 1093010 1339423 1733740 2124602 2186020 2513923 2678846 4249204 5027846 5311505 5357692 6697115 10055692 10623010 12569615 13394230 21246020 25139230 26788460 30806729 50278460 61613458 123226916 154033645 174078803 308067290 348157606 616134580 696315212 870394015 1740788030 3481576060 4003812469 5048285287 8007624938 10096570574 16015249876 20019062345 20193141148 25241426435 40038124690 50482852870 80076249380 100965705740 116110561601 232221123202 464442246404 580552808005 1161105616010 2322211232020