Search a number
-
+
230150352 = 24317247353
BaseRepresentation
bin11011011011111…
…01000011010000
3121001001211221010
431231331003100
5432404302402
634500530520
75463150165
oct1555750320
9531054833
10230150352
11108a06403
12650b0a40
13388b2853
14227d006c
1515312a6c
hexdb7d0d0

230150352 has 120 divisors (see below), whose sum is σ = 646851456. Its totient is φ = 70467584.

The previous prime is 230150329. The next prime is 230150353. The reversal of 230150352 is 253051032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230150353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651808 + ... + 652160.

Almost surely, 2230150352 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 230150352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323425728).

230150352 is an abundant number, since it is smaller than the sum of its proper divisors (416701104).

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

230150352 is a wasteful number, since it uses less digits than its factorization.

230150352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 230150352 is about 15170.7070369182. The cubic root of 230150352 is about 612.8260450405.

The spelling of 230150352 in words is "two hundred thirty million, one hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 289 353 376 408 564 578 706 752 799 816 867 1059 1128 1156 1412 1598 1734 2118 2256 2312 2397 2824 3196 3468 4236 4624 4794 5648 6001 6392 6936 8472 9588 12002 12784 13583 13872 16591 16944 18003 19176 24004 27166 33182 36006 38352 40749 48008 49773 54332 66364 72012 81498 96016 99546 102017 108664 132728 144024 162996 199092 204034 217328 265456 282047 288048 306051 325992 398184 408068 564094 612102 651984 796368 816136 846141 1128188 1224204 1632272 1692282 2256376 2448408 3384564 4512752 4794799 4896816 6769128 9589598 13538256 14384397 19179196 28768794 38358392 57537588 76716784 115075176 230150352