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242118184 = 23711312409
BaseRepresentation
bin11100110111001…
…10111000101000
3121212120212201011
432123212320220
5443440240214
640005233304
75666653630
oct1633467050
9555525634
10242118184
1111473aa80
1269102834
133b212cc9
14242276c0
15163c8ac4
hexe6e6e28

242118184 has 96 divisors (see below), whose sum is σ = 586267200. Its totient is φ = 91065600.

The previous prime is 242118179. The next prime is 242118193. The reversal of 242118184 is 481811242.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591772 + ... + 592180.

It is an arithmetic number, because the mean of its divisors is an integer number (6106950).

Almost surely, 2242118184 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 242118184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293133600).

242118184 is an abundant number, since it is smaller than the sum of its proper divisors (344149016).

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

242118184 is a wasteful number, since it uses less digits than its factorization.

242118184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 460 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 242118184 is about 15560.1473000740. The cubic root of 242118184 is about 623.2693961193.

The spelling of 242118184 in words is "two hundred forty-two million, one hundred eighteen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 409 434 616 682 818 868 961 1364 1636 1736 1922 2387 2728 2863 3272 3844 4499 4774 5726 6727 7688 8998 9548 10571 11452 12679 13454 17996 19096 21142 22904 25358 26908 31493 35992 42284 50716 53816 62986 73997 84568 88753 101432 125972 139469 147994 177506 251944 278938 295988 355012 393049 557876 591976 710024 786098 976283 1115752 1572196 1952566 2751343 3144392 3905132 4323539 5502686 7810264 8647078 11005372 17294156 22010744 30264773 34588312 60529546 121059092 242118184