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230774000 = 2453196073
BaseRepresentation
bin11011100000101…
…01010011110000
3121002020112102012
431300111103300
5433034232000
634522142052
75501355332
oct1560252360
9532215365
10230774000
111092a1a16
1265351928
1338a70682
1422913452
15153d7735
hexdc154f0

230774000 has 80 divisors (see below), whose sum is σ = 587477280. Its totient is φ = 87436800.

The previous prime is 230773999. The next prime is 230774009. The reversal of 230774000 is 477032.

230774000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (230774009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34964 + ... + 41036.

It is an arithmetic number, because the mean of its divisors is an integer number (7343466).

Almost surely, 2230774000 is an apocalyptic number.

230774000 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 230774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293738640).

230774000 is an abundant number, since it is smaller than the sum of its proper divisors (356703280).

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

230774000 is a wasteful number, since it uses less digits than its factorization.

230774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 230774000 is about 15191.2474800459. The cubic root of 230774000 is about 613.3790792386.

The spelling of 230774000 in words is "two hundred thirty million, seven hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 6073 7600 9500 12146 19000 24292 30365 38000 48584 60730 97168 115387 121460 151825 230774 242920 303650 461548 485840 576935 607300 759125 923096 1153870 1214600 1518250 1846192 2307740 2429200 2884675 3036500 4615480 5769350 6073000 9230960 11538700 12146000 14423375 23077400 28846750 46154800 57693500 115387000 230774000