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230099000 = 23531092111
BaseRepresentation
bin11011011011100…
…00100000111000
3121000222020111012
431231300200320
5432401132000
634455453052
75462544365
oct1555604070
9530866435
10230099000
1110898086a
1265087188
1338895371
14227b946c
1515302735
hexdb70838

230099000 has 64 divisors (see below), whose sum is σ = 543628800. Its totient is φ = 91152000.

The previous prime is 230098943. The next prime is 230099003. The reversal of 230099000 is 990032.

230099000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230099003) 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, 107945 + ... + 110055.

It is an arithmetic number, because the mean of its divisors is an integer number (8494200).

Almost surely, 2230099000 is an apocalyptic number.

230099000 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 230099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271814400).

230099000 is an abundant number, since it is smaller than the sum of its proper divisors (313529800).

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

230099000 is a wasteful number, since it uses less digits than its factorization.

230099000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 230099000 is about 15169.0144702944. The cubic root of 230099000 is about 612.7804629770.

The spelling of 230099000 in words is "two hundred thirty million, ninety-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2111 2180 2725 4222 4360 5450 8444 10555 10900 13625 16888 21110 21800 27250 42220 52775 54500 84440 105550 109000 211100 230099 263875 422200 460198 527750 920396 1055500 1150495 1840792 2111000 2300990 4601980 5752475 9203960 11504950 23009900 28762375 46019800 57524750 115049500 230099000