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230041000 = 2353759557
BaseRepresentation
bin11011011011000…
…10010110101000
3121000212021221001
431231202112220
5432342303000
634454324344
75462213320
oct1555422650
9530767831
10230041000
11108941232
12650596b4
1338874b47
14227a2280
15152e046a
hexdb625a8

230041000 has 128 divisors (see below), whose sum is σ = 626745600. Its totient is φ = 77395200.

The previous prime is 230040989. The next prime is 230041003. The reversal of 230041000 is 140032.

230041000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (230041003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412722 + ... + 413278.

It is an arithmetic number, because the mean of its divisors is an integer number (4896450).

Almost surely, 2230041000 is an apocalyptic number.

230041000 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 230041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313372800).

230041000 is an abundant number, since it is smaller than the sum of its proper divisors (396704600).

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

230041000 is a wasteful number, since it uses less digits than its factorization.

230041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 230041000 is about 15167.1025578388. The cubic root of 230041000 is about 612.7289717297.

Adding to 230041000 its reverse (140032), we get a palindrome (230181032).

The spelling of 230041000 in words is "two hundred thirty million, forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 280 295 350 413 472 500 557 590 700 826 875 1000 1114 1180 1400 1475 1652 1750 2065 2228 2360 2785 2950 3304 3500 3899 4130 4456 5570 5900 7000 7375 7798 8260 10325 11140 11800 13925 14750 15596 16520 19495 20650 22280 27850 29500 31192 32863 38990 41300 51625 55700 59000 65726 69625 77980 82600 97475 103250 111400 131452 139250 155960 164315 194950 206500 230041 262904 278500 328630 389900 413000 460082 487375 557000 657260 779800 821575 920164 974750 1150205 1314520 1643150 1840328 1949500 2300410 3286300 3899000 4107875 4600820 5751025 6572600 8215750 9201640 11502050 16431500 23004100 28755125 32863000 46008200 57510250 115020500 230041000