Search a number
-
+
242530236 = 2232133173229
BaseRepresentation
bin11100111010010…
…11011110111100
3121220100210221100
432131023132330
5444041431421
640022133100
76003321144
oct1635133674
9556323840
10242530236
111149a1613
1269281190
133b328720
14242d3924
151645ac26
hexe74b7bc

242530236 has 144 divisors (see below), whose sum is σ = 693871360. Its totient is φ = 70917120.

The previous prime is 242530229. The next prime is 242530247. The reversal of 242530236 is 632035242.

242530236 is a `hidden beast` number, since 2 + 425 + 3 + 0 + 236 = 666.

242530236 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2425302363 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058970 + ... + 1059198.

Almost surely, 2242530236 is an apocalyptic number.

242530236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242530236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346935680).

242530236 is an abundant number, since it is smaller than the sum of its proper divisors (451341124).

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

242530236 is a wasteful number, since it uses less digits than its factorization.

242530236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 242530236 is about 15573.3822915897. The cubic root of 242530236 is about 623.6227687905.

Adding to 242530236 its reverse (632035242), we get a palindrome (874565478).

The spelling of 242530236 in words is "two hundred forty-two million, five hundred thirty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 73 78 93 117 124 146 156 186 219 229 234 279 292 372 403 438 458 468 558 657 687 806 876 916 949 1116 1209 1314 1374 1612 1898 2061 2263 2418 2628 2748 2847 2977 3627 3796 4122 4526 4836 5694 5954 6789 7099 7254 8244 8541 8931 9052 11388 11908 13578 14198 14508 16717 17082 17862 20367 21297 26793 27156 28396 29419 33434 34164 35724 40734 42594 50151 53586 58838 63891 66868 81468 85188 88257 92287 100302 107172 117676 127782 150453 176514 184574 200604 217321 255564 264771 276861 300906 353028 369148 434642 518227 529542 553722 601812 651963 830583 869284 1036454 1059084 1107444 1303926 1554681 1661166 1955889 2072908 2607852 3109362 3322332 3911778 4664043 6218724 6736951 7823556 9328086 13473902 18656172 20210853 26947804 40421706 60632559 80843412 121265118 242530236