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230111000 = 2353771463
BaseRepresentation
bin11011011011100…
…11011100011000
3121000222211221122
431231303130120
5432402023000
634500024412
75462624360
oct1555633430
9530884848
10230111000
11108989889
1265092108
133889a972
14227bd9a0
1515306085
hexdb73718

230111000 has 128 divisors (see below), whose sum is σ = 625397760. Its totient is φ = 77616000.

The previous prime is 230110999. The next prime is 230111003. The reversal of 230111000 is 111032.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230111003) 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, 496769 + ... + 497231.

It is an arithmetic number, because the mean of its divisors is an integer number (4885920).

Almost surely, 2230111000 is an apocalyptic number.

230111000 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 230111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312698880).

230111000 is an abundant number, since it is smaller than the sum of its proper divisors (395286760).

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

230111000 is a wasteful number, since it uses less digits than its factorization.

230111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 230111000 is about 15169.4100083029. The cubic root of 230111000 is about 612.7911152582.

Adding to 230111000 its reverse (111032), we get a palindrome (230222032).

The spelling of 230111000 in words is "two hundred thirty million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 125 140 142 175 200 250 280 284 350 355 463 497 500 568 700 710 875 926 994 1000 1400 1420 1750 1775 1852 1988 2315 2485 2840 3241 3500 3550 3704 3976 4630 4970 6482 7000 7100 8875 9260 9940 11575 12425 12964 14200 16205 17750 18520 19880 23150 24850 25928 32410 32873 35500 46300 49700 57875 62125 64820 65746 71000 81025 92600 99400 115750 124250 129640 131492 162050 164365 230111 231500 248500 262984 324100 328730 405125 460222 463000 497000 648200 657460 810250 821825 920444 1150555 1314920 1620500 1643650 1840888 2301110 3241000 3287300 4109125 4602220 5752775 6574600 8218250 9204440 11505550 16436500 23011100 28763875 32873000 46022200 57527750 115055500 230111000