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22201012211022 = 232171032137329617
BaseRepresentation
bin1010000110001000100110…
…11100100100110101001110
32220121101200201020200121100
411003010103130210311032
510402220133111223042
6115115000524243530
74450653531103341
oct503042334446516
986541621220540
1022201012211022
11708a43a683157
1225a68560a05a6
13c5071478b4b8
1456a76b3d8458
152877750cc24c
hex143113724d4e

22201012211022 has 96 divisors (see below), whose sum is σ = 51450437518272. Its totient is φ = 6894153326592.

The previous prime is 22201012211009. The next prime is 22201012211071. The reversal of 22201012211022 is 22011221010222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22201012210986 and 22201012211004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67189158 + ... + 67518774.

It is an arithmetic number, because the mean of its divisors is an integer number (535942057482).

Almost surely, 222201012211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201012211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725218759136).

22201012211022 is an abundant number, since it is smaller than the sum of its proper divisors (29249425307250).

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

22201012211022 is a wasteful number, since it uses less digits than its factorization.

22201012211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331882 (or 331879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22201012211022 its reverse (22011221010222), we get a palindrome (44212233221244).

The spelling of 22201012211022 in words is "twenty-two trillion, two hundred one billion, twelve million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 927 1751 1854 2137 3502 4274 5253 6411 10506 12822 15759 19233 31518 36329 38466 72658 108987 217974 220111 326961 329617 440222 653922 659234 660333 988851 1320666 1977702 1980999 2966553 3741887 3961998 5603489 5933106 7483774 11206978 11225661 16810467 22451322 33620934 33676983 33950551 50431401 67353966 67901102 100862802 101851653 203703306 305554959 577159367 611109918 704391529 1154318734 1408783058 1731478101 2113174587 3462956202 4226349174 5194434303 6339523761 10388868606 11974655993 12679047522 23949311986 35923967979 71847935958 72552327487 107771903937 145104654974 215543807874 217656982461 435313964922 652970947383 1233389567279 1305941894766 2466779134558 3700168701837 7400337403674 11100506105511 22201012211022