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2422442106 = 233724492039
BaseRepresentation
bin1001000001100011…
…1000100001111010
320020211020210212000
42100120320201322
514430121121411
61040213201430
7114013263300
oct22030704172
96224223760
102422442106
111033450677
12577330276
132c7b457c6
1418da22270
15e2a0a956
hex9063887a

2422442106 has 96 divisors (see below), whose sum is σ = 6279120000. Its totient is φ = 690246144.

The previous prime is 2422442101. The next prime is 2422442111. The reversal of 2422442106 is 6012442242.

It is an interprime number because it is at equal distance from previous prime (2422442101) and next prime (2422442111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2422442106.

It is not an unprimeable number, because it can be changed into a prime (2422442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187035 + ... + 1189073.

It is an arithmetic number, because the mean of its divisors is an integer number (65407500).

Almost surely, 22422442106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422442106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139560000).

2422442106 is an abundant number, since it is smaller than the sum of its proper divisors (3856677894).

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

2422442106 is a wasteful number, since it uses less digits than its factorization.

2422442106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2422442106 is about 49218.3106780393. The cubic root of 2422442106 is about 1343.0261499965.

Adding to 2422442106 its reverse (6012442242), we get a palindrome (8434884348).

The spelling of 2422442106 in words is "two billion, four hundred twenty-two million, four hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 449 882 898 1323 1347 2039 2646 2694 3143 4041 4078 6117 6286 8082 9429 12123 12234 14273 18351 18858 22001 24246 28287 28546 36702 42819 44002 55053 56574 66003 84861 85638 99911 110106 128457 132006 169722 198009 199822 256914 299733 385371 396018 594027 599466 770742 899199 915511 1188054 1798398 1831022 2697597 2746533 5395194 5493066 6408577 8239599 12817154 16479198 19225731 24718797 38451462 44860039 49437594 57677193 89720078 115354386 134580117 173031579 269160234 346063158 403740351 807480702 1211221053 2422442106