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230678000 = 2453716477
BaseRepresentation
bin11011011111111…
…01110111110000
3121002001122201122
431233331313300
5433023144000
634520121412
75500505420
oct1557756760
9532048648
10230678000
11109236883
1265306268
1338a38a77
14228ca480
15153b9085
hexdbfddf0

230678000 has 80 divisors (see below), whose sum is σ = 637500864. Its totient is φ = 79084800.

The previous prime is 230677987. The next prime is 230678009. The reversal of 230678000 is 876032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230678009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5762 + ... + 22238.

Almost surely, 2230678000 is an apocalyptic number.

230678000 is a gapful number since it is divisible by the number (20) 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 230678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318750432).

230678000 is an abundant number, since it is smaller than the sum of its proper divisors (406822864).

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

230678000 is a wasteful number, since it uses less digits than its factorization.

230678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16507 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 230678000 is about 15188.0874371989. The cubic root of 230678000 is about 613.2940139675.

The spelling of 230678000 in words is "two hundred thirty million, six hundred seventy-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 16477 32954 65908 82385 115339 131816 164770 230678 263632 329540 411925 461356 576695 659080 823850 922712 1153390 1318160 1647700 1845424 2059625 2306780 2883475 3295400 4119250 4613560 5766950 6590800 8238500 9227120 11533900 14417375 16477000 23067800 28834750 32954000 46135600 57669500 115339000 230678000