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138223017 = 353159311
BaseRepresentation
bin10000011110100…
…01110110101001
3100122002110100000
420033101312221
5240341114032
621414333213
73265606362
oct1017216651
9318073300
10138223017
1171028aa9
123a35a209
132283758a
1414500b69
15c204e7c
hex83d1da9

138223017 has 48 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 87382800.

The previous prime is 138222989. The next prime is 138223037. The reversal of 138223017 is 710322831.

138223017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138223017 - 28 = 138222761 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (138223037) 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, 444292 + ... + 444602.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2138223017 is an apocalyptic number.

It is an amenable number.

138223017 is a deficient number, since it is larger than the sum of its proper divisors (79827543).

138223017 is an equidigital number, since it uses as much as digits as its factorization.

138223017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138223017 is about 11756.8285264352. The cubic root of 138223017 is about 517.0431506871.

Adding to 138223017 its reverse (710322831), we get a palindrome (848545848).

The spelling of 138223017 in words is "one hundred thirty-eight million, two hundred twenty-three thousand, seventeen".

Divisors: 1 3 9 27 31 59 81 93 177 243 279 311 531 837 933 1593 1829 2511 2799 4779 5487 7533 8397 9641 14337 16461 18349 25191 28923 49383 55047 75573 86769 148149 165141 260307 444447 495423 568819 780921 1486269 1706457 2342763 4458807 5119371 15358113 46074339 138223017