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230110300 = 225271761317
BaseRepresentation
bin11011011011100…
…11010001011100
3121000222210222201
431231303101130
5432402012200
634500021244
75462622340
oct1555632134
9530883881
10230110300
11108989302
1265091824
133889a554
14227bd620
1515305c6a
hexdb7345c

230110300 has 144 divisors (see below), whose sum is σ = 616085568. Its totient is φ = 72806400.

The previous prime is 230110253. The next prime is 230110313. The reversal of 230110300 is 3011032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725742 + ... + 726058.

It is an arithmetic number, because the mean of its divisors is an integer number (4278372).

Almost surely, 2230110300 is an apocalyptic number.

230110300 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 230110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308042784).

230110300 is an abundant number, since it is smaller than the sum of its proper divisors (385975268).

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

230110300 is a wasteful number, since it uses less digits than its factorization.

230110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 230110300 is about 15169.3869355357. The cubic root of 230110300 is about 612.7904938853.

Adding to 230110300 its reverse (3011032), we get a palindrome (233121332).

The spelling of 230110300 in words is "two hundred thirty million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 61 68 70 85 100 119 122 140 170 175 238 244 305 317 340 350 425 427 476 595 610 634 700 850 854 1037 1190 1220 1268 1525 1585 1700 1708 2074 2135 2219 2380 2975 3050 3170 4148 4270 4438 5185 5389 5950 6100 6340 7259 7925 8540 8876 10370 10675 10778 11095 11900 14518 15850 19337 20740 21350 21556 22190 25925 26945 29036 31700 36295 37723 38674 42700 44380 51850 53890 55475 72590 75446 77348 96685 103700 107780 110950 134725 135359 145180 150892 181475 188615 193370 221900 269450 270718 328729 362950 377230 386740 483425 538900 541436 657458 676795 725900 754460 943075 966850 1314916 1353590 1643645 1886150 1933700 2301103 2707180 3287290 3383975 3772300 4602206 6574580 6767950 8218225 9204412 11505515 13535900 16436450 23011030 32872900 46022060 57527575 115055150 230110300