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230558468 = 2272929791
BaseRepresentation
bin11011011111000…
…00101100000100
3121001211120202112
431233200230010
5433010332333
634513400152
75466500060
oct1557405404
9531746675
10230558468
11109164a98
1265269058
13389c653a
1422898aa0
1515393948
hexdbe0b04

230558468 has 36 divisors (see below), whose sum is σ = 477614592. Its totient is φ = 95393760.

The previous prime is 230558429. The next prime is 230558473. The reversal of 230558468 is 864855032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18653 + ... + 28443.

It is an arithmetic number, because the mean of its divisors is an integer number (13267072).

Almost surely, 2230558468 is an apocalyptic number.

230558468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230558468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238807296).

230558468 is an abundant number, since it is smaller than the sum of its proper divisors (247056124).

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

230558468 is a wasteful number, since it uses less digits than its factorization.

230558468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 230558468 is about 15184.1518696304. The cubic root of 230558468 is about 613.1880640779.

The spelling of 230558468 in words is "two hundred thirty million, five hundred fifty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 1682 3364 5887 9791 11774 19582 23548 39164 68537 137074 274148 283939 567878 1135756 1987573 3975146 7950292 8234231 16468462 32936924 57639617 115279234 230558468