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230048 = 2571379
BaseRepresentation
bin111000001010100000
3102200120022
4320022200
524330143
64533012
71645460
oct701240
9380508
10230048
11147925
12b1168
1380930
145dba0
1548268
hex382a0

230048 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 89856.

The previous prime is 230047. The next prime is 230059. The reversal of 230048 is 840032.

It is not an unprimeable number, because it can be changed into a prime (230047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2873 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2230048 is an apocalyptic number.

230048 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 230048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

230048 is an abundant number, since it is smaller than the sum of its proper divisors (334432).

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

230048 is a wasteful number, since it uses less digits than its factorization.

230048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 230048 is about 479.6331931800. The cubic root of 230048 is about 61.2735186650.

The spelling of 230048 in words is "two hundred thirty thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 79 91 104 112 158 182 208 224 316 364 416 553 632 728 1027 1106 1264 1456 2054 2212 2528 2912 4108 4424 7189 8216 8848 14378 16432 17696 28756 32864 57512 115024 230048