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2138141226 = 231323412709
BaseRepresentation
bin111111101110001…
…0111001000101010
312112000021211100210
41333130113020222
513334331004401
6552055441550
7103661620614
oct17734271052
95460254323
102138141226
119a7a1a171
124b80862b6
13280c83630
14163d77db4
15c7a9d4d6
hex7f71722a

2138141226 has 96 divisors (see below), whose sum is σ = 4932466560. Its totient is φ = 613071360.

The previous prime is 2138141197. The next prime is 2138141227. The reversal of 2138141226 is 6221418312.

It is a junction number, because it is equal to n+sod(n) for n = 2138141193 and 2138141202.

It is not an unprimeable number, because it can be changed into a prime (2138141227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015360 + ... + 3016068.

It is an arithmetic number, because the mean of its divisors is an integer number (51379860).

Almost surely, 22138141226 is an apocalyptic number.

2138141226 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 2138141226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466233280).

2138141226 is an abundant number, since it is smaller than the sum of its proper divisors (2794325334).

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

2138141226 is a wasteful number, since it uses less digits than its factorization.

2138141226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 791 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2138141226 is about 46240.0392084609. The cubic root of 2138141226 is about 1288.2855308263.

Adding to 2138141226 its reverse (6221418312), we get a palindrome (8359559538).

The spelling of 2138141226 in words is "two billion, one hundred thirty-eight million, one hundred forty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 23 26 39 41 46 69 78 82 123 138 246 299 533 598 709 897 943 1066 1418 1599 1681 1794 1886 2127 2829 3198 3362 4254 5043 5658 9217 10086 12259 16307 18434 21853 24518 27651 29069 32614 36777 38663 43706 48921 55302 58138 65559 73554 77326 87207 97842 115989 131118 174414 211991 231978 377897 423982 502619 635973 668587 755794 1005238 1133691 1191829 1271946 1337174 1507857 2005761 2267382 2383658 3015714 3575487 4011522 7150974 8691631 15493777 17383262 26074893 27412067 30987554 46481331 52149786 54824134 82236201 92962662 164472402 356356871 712713742 1069070613 2138141226