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230862000 = 24353109353
BaseRepresentation
bin11011100001010…
…10110010110000
3121002102000010110
431300222302300
5433100041000
634524101320
75502203025
oct1560526260
9532360113
10230862000
11109352046
1265394840
1338aa1745
142293754c
1515403850
hexdc2acb0

230862000 has 160 divisors (see below), whose sum is σ = 753255360. Its totient is φ = 60825600.

The previous prime is 230861977. The next prime is 230862001. The reversal of 230862000 is 268032.

It is not an unprimeable number, because it can be changed into a prime (230862001) 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 31 ways as a sum of consecutive naturals, for example, 653824 + ... + 654176.

It is an arithmetic number, because the mean of its divisors is an integer number (4707846).

Almost surely, 2230862000 is an apocalyptic number.

230862000 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 230862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376627680).

230862000 is an abundant number, since it is smaller than the sum of its proper divisors (522393360).

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

230862000 is a wasteful number, since it uses less digits than its factorization.

230862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 230862000 is about 15194.1436086408. The cubic root of 230862000 is about 613.4570350156.

The spelling of 230862000 in words is "two hundred thirty million, eight hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 125 150 200 218 240 250 300 327 353 375 400 436 500 545 600 654 706 750 872 1000 1059 1090 1200 1308 1412 1500 1635 1744 1765 2000 2118 2180 2616 2725 2824 3000 3270 3530 4236 4360 5232 5295 5450 5648 6000 6540 7060 8175 8472 8720 8825 10590 10900 13080 13625 14120 16350 16944 17650 21180 21800 26160 26475 27250 28240 32700 35300 38477 40875 42360 43600 44125 52950 54500 65400 70600 76954 81750 84720 88250 105900 109000 115431 130800 132375 141200 153908 163500 176500 192385 211800 218000 230862 264750 307816 327000 353000 384770 423600 461724 529500 577155 615632 654000 706000 769540 923448 961925 1059000 1154310 1539080 1846896 1923850 2118000 2308620 2885775 3078160 3847700 4617240 4809625 5771550 7695400 9234480 9619250 11543100 14428875 15390800 19238500 23086200 28857750 38477000 46172400 57715500 76954000 115431000 230862000