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242254168 = 231329471709
BaseRepresentation
bin11100111000010…
…00000101011000
3121212211210020121
432130020011120
5444004113133
640012203024
76001061242
oct1634100530
9555753217
10242254168
11114823162
1269169474
133b25cb80
1424261092
151640402d
hexe708158

242254168 has 64 divisors (see below), whose sum is σ = 517104000. Its totient is φ = 105595392.

The previous prime is 242254157. The next prime is 242254171. The reversal of 242254168 is 861452242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140898 + ... + 142606.

It is an arithmetic number, because the mean of its divisors is an integer number (8079750).

Almost surely, 2242254168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242254168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552000).

242254168 is an abundant number, since it is smaller than the sum of its proper divisors (274849832).

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

242254168 is a wasteful number, since it uses less digits than its factorization.

242254168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1800 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 242254168 is about 15564.5163111483. The cubic root of 242254168 is about 623.3860592599.

The spelling of 242254168 in words is "two hundred forty-two million, two hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 29 47 52 58 94 104 116 188 232 376 377 611 754 1222 1363 1508 1709 2444 2726 3016 3418 4888 5452 6836 10904 13672 17719 22217 35438 44434 49561 70876 80323 88868 99122 141752 160646 177736 198244 321292 396488 642584 644293 1044199 1288586 2088398 2329367 2577172 4176796 4658734 5154344 8353592 9317468 18634936 30281771 60563542 121127084 242254168