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22541140206 = 232131014572087
BaseRepresentation
bin10100111111100011…
…101000000011101110
32011011221010120021200
4110333203220003232
5332131012441311
614204422510330
71425406346634
oct247743500356
964157116250
1022541140206
1196179822a2
124450b953a6
132182cac8b0
14113b9a5354
158bddc1556
hex53f8e80ee

22541140206 has 96 divisors (see below), whose sum is σ = 53258482368. Its totient is φ = 6848755200.

The previous prime is 22541140183. The next prime is 22541140207. The reversal of 22541140206 is 60204114522.

22541140206 is a `hidden beast` number, since 2 + 2 + 5 + 411 + 40 + 206 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22541140206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22541140207) 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 47 ways as a sum of consecutive naturals, for example, 10799695 + ... + 10801781.

It is an arithmetic number, because the mean of its divisors is an integer number (554775858).

Almost surely, 222541140206 is an apocalyptic number.

22541140206 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22541140206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629241184).

22541140206 is an abundant number, since it is smaller than the sum of its proper divisors (30717342162).

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

22541140206 is a wasteful number, since it uses less digits than its factorization.

22541140206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22541140206 its reverse (60204114522), we get a palindrome (82745254728).

The spelling of 22541140206 in words is "twenty-two billion, five hundred forty-one million, one hundred forty thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 457 606 909 914 1313 1371 1818 2087 2626 2742 3939 4113 4174 5941 6261 7878 8226 11817 11882 12522 17823 18783 23634 27131 35646 37566 46157 53469 54262 81393 92314 106938 138471 162786 210787 244179 276942 415413 421574 488358 600041 632361 830826 953759 1200082 1264722 1800123 1897083 1907518 2740231 2861277 3600246 3794166 5400369 5480462 5722554 8220693 8583831 10800738 12398867 16441386 17167662 24662079 24797734 37196601 49324158 74393202 96329659 111589803 192659318 223179606 288988977 577977954 866966931 1252285567 1733933862 2504571134 3756856701 7513713402 11270570103 22541140206