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22142106 = 2337193083
BaseRepresentation
bin101010001110…
…1110010011010
31112122221021000
41110131302122
521132021411
62110325430
7356130150
oct124356232
945587230
1022142106
1111553768
1274b9876
13478344c
142d253d0
151e25956
hex151dc9a

22142106 has 64 divisors (see below), whose sum is σ = 59212800. Its totient is φ = 5991408.

The previous prime is 22142101. The next prime is 22142111. The reversal of 22142106 is 60124122.

It is an interprime number because it is at equal distance from previous prime (22142101) and next prime (22142111).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142101) 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 31 ways as a sum of consecutive naturals, for example, 5641 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (925200).

Almost surely, 222142106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29606400).

22142106 is an abundant number, since it is smaller than the sum of its proper divisors (37070694).

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

22142106 is a wasteful number, since it uses less digits than its factorization.

22142106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22142106 is about 4705.5399265122. The cubic root of 22142106 is about 280.8059517330.

Adding to 22142106 its reverse (60124122), we get a palindrome (82266228).

The spelling of 22142106 in words is "twenty-two million, one hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3083 3591 6166 7182 9249 18498 21581 27747 43162 55494 58577 64743 83241 117154 129486 166482 175731 194229 351462 388458 410039 527193 582687 820078 1054386 1165374 1230117 1581579 2460234 3163158 3690351 7380702 11071053 22142106