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230914000 = 2453263439
BaseRepresentation
bin11011100001101…
…11011111010000
3121002111122110101
431300313133100
5433103222000
634525142144
75502510442
oct1560673720
9532448411
10230914000
11109388119
12653ba954
1338abc305
142294c492
1515413e6a
hexdc377d0

230914000 has 80 divisors (see below), whose sum is σ = 561749760. Its totient is φ = 91804800.

The previous prime is 230913937. The next prime is 230914007. The reversal of 230914000 is 419032.

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 (230914007) 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, 525781 + ... + 526219.

It is an arithmetic number, because the mean of its divisors is an integer number (7021872).

Almost surely, 2230914000 is an apocalyptic number.

230914000 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 230914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280874880).

230914000 is an abundant number, since it is smaller than the sum of its proper divisors (330835760).

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

230914000 is a wasteful number, since it uses less digits than its factorization.

230914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 230914000 is about 15195.8546979102. The cubic root of 230914000 is about 613.5030904817.

The spelling of 230914000 in words is "two hundred thirty million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 263 400 439 500 526 878 1000 1052 1315 1756 2000 2104 2195 2630 3512 4208 4390 5260 6575 7024 8780 10520 10975 13150 17560 21040 21950 26300 32875 35120 43900 52600 54875 65750 87800 105200 109750 115457 131500 175600 219500 230914 263000 439000 461828 526000 577285 878000 923656 1154570 1847312 2309140 2886425 4618280 5772850 9236560 11545700 14432125 23091400 28864250 46182800 57728500 115457000 230914000