Search a number
-
+
230584158 = 237717443
BaseRepresentation
bin11011011111001…
…10111101011110
3121001212220000000
431233212331132
5433012143113
634514115130
75466635010
oct1557467536
9531786000
10230584158
11109182322
126527baa6
1338a0513c
14228a41b0
151539b373
hexdbe6f5e

230584158 has 128 divisors (see below), whose sum is σ = 629130240. Its totient is φ = 61865856.

The previous prime is 230584157. The next prime is 230584163. The reversal of 230584158 is 851485032.

It is a happy number.

230584158 is a `hidden beast` number, since 23 + 0 + 584 + 1 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230584157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520285 + ... + 520727.

It is an arithmetic number, because the mean of its divisors is an integer number (4915080).

Almost surely, 2230584158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230584158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314565120).

230584158 is an abundant number, since it is smaller than the sum of its proper divisors (398546082).

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

230584158 is an equidigital number, since it uses as much as digits as its factorization.

230584158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 230584158 is about 15184.9977938754. The cubic root of 230584158 is about 613.2108380788.

The spelling of 230584158 in words is "two hundred thirty million, five hundred eighty-four thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 443 459 486 567 714 729 886 918 1071 1134 1329 1377 1458 1701 2142 2187 2658 2754 3101 3213 3402 3987 4131 4374 5103 6202 6426 7531 7974 8262 9303 9639 10206 11961 12393 15062 15309 18606 19278 22593 23922 24786 27909 28917 30618 35883 37179 45186 52717 55818 57834 67779 71766 74358 83727 86751 105434 107649 135558 158151 167454 173502 203337 215298 251181 260253 316302 322947 406674 474453 502362 520506 610011 645894 753543 948906 968841 1220022 1423359 1507086 1830033 1937682 2260629 2846718 3660066 4270077 4521258 5490099 6781887 8540154 10980198 12810231 13563774 16470297 25620462 32940594 38430693 76861386 115292079 230584158