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164122542 = 2322959732
BaseRepresentation
bin10011100100001…
…00111110101110
3102102211021210200
421302010332232
5314003410132
624141414330
74032006243
oct1162047656
9372737720
10164122542
1184708771
1246b6a3a6
132800503c
1417b235ca
15e61dd7c
hex9c84fae

164122542 has 72 divisors (see below), whose sum is σ = 379290600. Its totient is φ = 51214464.

The previous prime is 164122523. The next prime is 164122561. The reversal of 164122542 is 245221461.

164122542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164122523) and next prime (164122561).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2248218 + ... + 2248290.

It is an arithmetic number, because the mean of its divisors is an integer number (5267925).

Almost surely, 2164122542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164122542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189645300).

164122542 is an abundant number, since it is smaller than the sum of its proper divisors (215168058).

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

164122542 is a wasteful number, since it uses less digits than its factorization.

164122542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 166 counting only the distinct ones).

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

The square root of 164122542 is about 12811.0320427357. The cubic root of 164122542 is about 547.5066665855.

The spelling of 164122542 in words is "one hundred sixty-four million, one hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 59 73 87 118 146 174 177 219 261 354 438 522 531 657 1062 1314 1711 2117 3422 4234 4307 5133 5329 6351 8614 10266 10658 12702 12921 15399 15987 19053 25842 30798 31974 38106 38763 47961 77526 95922 124903 154541 249806 309082 314411 374709 463623 628822 749418 927246 943233 1124127 1390869 1886466 2248254 2781738 2829699 5659398 9117919 18235838 27353757 54707514 82061271 164122542