Search a number
-
+
230112300 = 2235211103677
BaseRepresentation
bin11011011011100…
…11110000101100
3121000222220201210
431231303300230
5432402043200
634500034420
75462631225
oct1555636054
9530886653
10230112300
1110898a860
1265092a10
133889b432
14227c024c
1515306650
hexdb73c2c

230112300 has 144 divisors (see below), whose sum is σ = 734452992. Its totient is φ = 55161600.

The previous prime is 230112293. The next prime is 230112319. The reversal of 230112300 is 3211032.

It is a happy number.

It is a super-2 number, since 2×2301123002 = 105903341222580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 339562 + ... + 340238.

It is an arithmetic number, because the mean of its divisors is an integer number (5100368).

Almost surely, 2230112300 is an apocalyptic number.

230112300 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 230112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367226496).

230112300 is an abundant number, since it is smaller than the sum of its proper divisors (504340692).

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

230112300 is a wasteful number, since it uses less digits than its factorization.

230112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230112300 is about 15169.4528576346. The cubic root of 230112300 is about 612.7922692331.

Adding to 230112300 its reverse (3211032), we get a palindrome (233323332).

The spelling of 230112300 in words is "two hundred thirty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 103 110 132 150 165 206 220 275 300 309 330 412 515 550 618 660 677 825 1030 1100 1133 1236 1354 1545 1650 2031 2060 2266 2575 2708 3090 3300 3385 3399 4062 4532 5150 5665 6180 6770 6798 7447 7725 8124 10155 10300 11330 13540 13596 14894 15450 16925 16995 20310 22341 22660 28325 29788 30900 33850 33990 37235 40620 44682 50775 56650 67700 67980 69731 74470 84975 89364 101550 111705 113300 139462 148940 169950 186175 203100 209193 223410 278924 339900 348655 372350 418386 446820 558525 697310 744700 767041 836772 1045965 1117050 1394620 1534082 1743275 2091930 2234100 2301123 3068164 3486550 3835205 4183860 4602246 5229825 6973100 7670410 9204492 10459650 11505615 15340820 19176025 20919300 23011230 38352050 46022460 57528075 76704100 115056150 230112300