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230008878 = 2321117232971
BaseRepresentation
bin11011011010110…
…10100000101110
3121000210122212100
431231122200232
5432340241003
634453515530
75462020551
oct1555324056
9530718770
10230008878
1110891a090
1265042ba6
1338863338
1422794698
15152d5ba3
hexdb5a82e

230008878 has 96 divisors (see below), whose sum is σ = 600867072. Its totient is φ = 62726400.

The previous prime is 230008873. The next prime is 230008879. The reversal of 230008878 is 878800032.

230008878 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 (230008873) 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, 75933 + ... + 78903.

It is an arithmetic number, because the mean of its divisors is an integer number (6259032).

Almost surely, 2230008878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230008878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300433536).

230008878 is an abundant number, since it is smaller than the sum of its proper divisors (370858194).

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

230008878 is a wasteful number, since it uses less digits than its factorization.

230008878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 230008878 is about 15166.0435842708. The cubic root of 230008878 is about 612.7004507324.

It can be divided in two parts, 23000 and 8878, that added together give a triangular number (31878 = T252).

The spelling of 230008878 in words is "two hundred thirty million, eight thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 306 374 391 414 506 561 759 782 1122 1173 1518 1683 2277 2346 2971 3366 3519 4301 4554 5942 7038 8602 8913 12903 17826 25806 26739 32681 38709 50507 53478 65362 68333 77418 98043 101014 136666 151521 196086 204999 294129 303042 409998 454563 555577 588258 614997 751663 909126 1111154 1161661 1229994 1503326 1666731 2254989 2323322 3333462 3484983 4509978 5000193 6764967 6969966 10000386 10454949 12778271 13529934 20909898 25556542 38334813 76669626 115004439 230008878