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230022110000 = 2454199115589
BaseRepresentation
bin1101011000111001100…
…0101101101100110000
3210222201122011220002102
43112032120231230300
512232041130010000
6253400512035532
722422106450334
oct3261630555460
9728648156072
10230022110000
1189608536861
12386b5b32ba8
13188ca155bc7
14b1c14437c4
155eb3eb93d5
hex358e62db30

230022110000 has 100 divisors (see below), whose sum is σ = 559709898000. Its totient is φ = 91545696000.

The previous prime is 230022109991. The next prime is 230022110011. The reversal of 230022110000 is 11220032.

Adding to 230022110000 its reverse (11220032), we get a palindrome (230033330032).

It is a happy number.

230022110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1932206 + ... + 2047794.

It is an arithmetic number, because the mean of its divisors is an integer number (5597098980).

Almost surely, 2230022110000 is an apocalyptic number.

230022110000 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 230022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279854949000).

230022110000 is an abundant number, since it is smaller than the sum of its proper divisors (329687788000).

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

230022110000 is a wasteful number, since it uses less digits than its factorization.

230022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115816 (or 115795 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The spelling of 230022110000 in words is "two hundred thirty billion, twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 625 796 995 1000 1250 1592 1990 2000 2500 3184 3980 4975 5000 7960 9950 10000 15920 19900 24875 39800 49750 79600 99500 115589 124375 199000 231178 248750 398000 462356 497500 577945 924712 995000 1155890 1849424 1990000 2311780 2889725 4623560 5779450 9247120 11558900 14448625 23002211 23117800 28897250 46004422 46235600 57794500 72243125 92008844 115011055 115589000 144486250 184017688 230022110 231178000 288972500 368035376 460044220 575055275 577945000 920088440 1150110550 1155890000 1840176880 2300221100 2875276375 4600442200 5750552750 9200884400 11501105500 14376381875 23002211000 28752763750 46004422000 57505527500 115011055000 230022110000