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242069868 = 223217253439
BaseRepresentation
bin11100110110110…
…11000101101100
3121212111102102200
432123123011230
5443432213433
640004221500
75666363025
oct1633330554
9555442380
10242069868
11114707747
126909a890
133b1c7011
1424213c4c
15163b9613
hexe6db16c

242069868 has 108 divisors (see below), whose sum is σ = 663783120. Its totient is φ = 74340864.

The previous prime is 242069837. The next prime is 242069869. The reversal of 242069868 is 868960242.

It is not an unprimeable number, because it can be changed into a prime (242069869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 551193 + ... + 551631.

It is an arithmetic number, because the mean of its divisors is an integer number (6146140).

Almost surely, 2242069868 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 242069868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331891560).

242069868 is an abundant number, since it is smaller than the sum of its proper divisors (421713252).

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

242069868 is a wasteful number, since it uses less digits than its factorization.

242069868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 242069868 is about 15558.5946666143. The cubic root of 242069868 is about 623.2279344290.

The spelling of 242069868 in words is "two hundred forty-two million, sixty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 289 306 318 439 477 578 612 636 867 878 901 954 1156 1317 1734 1756 1802 1908 2601 2634 2703 3468 3604 3951 5202 5268 5406 7463 7902 8109 10404 10812 14926 15317 15804 16218 22389 23267 29852 30634 32436 44778 45951 46534 61268 67167 69801 89556 91902 93068 126871 134334 137853 139602 183804 209403 253742 268668 275706 279204 380613 395539 418806 507484 551412 761226 791078 837612 1141839 1186617 1522452 1582156 2283678 2373234 3559851 4567356 4746468 6724163 7119702 13448326 14239404 20172489 26896652 40344978 60517467 80689956 121034934 242069868