Search a number
-
+
230249502 = 232729611033
BaseRepresentation
bin11011011100101…
…01010000011110
3121001020212221100
431232111100132
5432420441002
634503013530
75464042230
oct1556252036
9531225840
10230249502
11108a7394a
126513a2a6
1338918a12
1422818250
151533211c
hexdb9541e

230249502 has 96 divisors (see below), whose sum is σ = 600050880. Its totient is φ = 62415360.

The previous prime is 230249501. The next prime is 230249533. The reversal of 230249502 is 205942032.

230249502 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230249501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222378 + ... + 223410.

It is an arithmetic number, because the mean of its divisors is an integer number (6250530).

Almost surely, 2230249502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230249502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300025440).

230249502 is an abundant number, since it is smaller than the sum of its proper divisors (369801378).

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

230249502 is a wasteful number, since it uses less digits than its factorization.

230249502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230249502 is about 15173.9744958267. The cubic root of 230249502 is about 612.9140353165.

The spelling of 230249502 in words is "two hundred thirty million, two hundred forty-nine thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 61 63 87 122 126 174 183 203 261 366 406 427 522 549 609 854 1033 1098 1218 1281 1769 1827 2066 2562 3099 3538 3654 3843 5307 6198 7231 7686 9297 10614 12383 14462 15921 18594 21693 24766 29957 31842 37149 43386 59914 63013 65079 74298 89871 111447 126026 130158 179742 189039 209699 222894 269613 378078 419398 441091 539226 567117 629097 882182 1134234 1258194 1323273 1827377 1887291 2646546 3654754 3774582 3969819 5482131 7939638 10964262 12791639 16446393 25583278 32892786 38374917 76749834 115124751 230249502