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230587812 = 2232713591193
BaseRepresentation
bin11011011111001…
…11110110100100
3121001220002000100
431233213312210
5433012302222
634514144100
75466651450
oct1557476644
9531802010
10230587812
11109185044
1265282030
1338a069c0
14228a5660
151539c4ac
hexdbe7da4

230587812 has 144 divisors (see below), whose sum is σ = 730154880. Its totient is φ = 59733504.

The previous prime is 230587793. The next prime is 230587859. The reversal of 230587812 is 218785032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

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, 192688 + ... + 193880.

It is an arithmetic number, because the mean of its divisors is an integer number (5070520).

Almost surely, 2230587812 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 230587812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365077440).

230587812 is an abundant number, since it is smaller than the sum of its proper divisors (499567068).

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

230587812 is a wasteful number, since it uses less digits than its factorization.

230587812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 230587812 is about 15185.1181095176. The cubic root of 230587812 is about 613.2140771862.

The spelling of 230587812 in words is "two hundred thirty million, five hundred eighty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 1062 1092 1193 1239 1534 1638 1652 2124 2301 2386 2478 3068 3276 3579 3717 4602 4772 4956 5369 6903 7158 7434 8351 9204 10737 10738 13806 14316 14868 15509 16107 16702 21474 21476 25053 27612 31018 32214 33404 42948 46527 48321 50106 62036 64428 70387 75159 93054 96642 100212 108563 139581 140774 150318 186108 193284 211161 217126 279162 281548 300636 325689 422322 434252 492709 558324 633483 651378 844644 915031 977067 985418 1266966 1302756 1478127 1830062 1954134 1970836 2533932 2745093 2956254 3660124 3908268 4434381 5490186 5912508 6405217 8235279 8868762 10980372 12810434 16470558 17737524 19215651 25620868 32941116 38431302 57646953 76862604 115293906 230587812