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230024300 = 225211792647
BaseRepresentation
bin11011011010111…
…10010001101100
3121000211110000112
431231132101230
5432341234200
634454115152
75462113532
oct1555362154
9530743015
10230024300
1110892a730
126504bab8
133886a36c
142279a152
15152da535
hexdb5e46c

230024300 has 72 divisors (see below), whose sum is σ = 551631360. Its totient is φ = 82555200.

The previous prime is 230024257. The next prime is 230024323. The reversal of 230024300 is 3420032.

It is a super-2 number, since 2×2300243002 = 105822357180980000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85577 + ... + 88223.

Almost surely, 2230024300 is an apocalyptic number.

230024300 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 230024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275815680).

230024300 is an abundant number, since it is smaller than the sum of its proper divisors (321607060).

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

230024300 is a wasteful number, since it uses less digits than its factorization.

230024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230024300 is about 15166.5520142187. The cubic root of 230024300 is about 612.7141441969.

Adding to 230024300 its reverse (3420032), we get a palindrome (233444332).

The spelling of 230024300 in words is "two hundred thirty million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 2647 3476 3950 4345 5294 7900 8690 10588 13235 17380 21725 26470 29117 43450 52940 58234 66175 86900 116468 132350 145585 209113 264700 291170 418226 582340 727925 836452 1045565 1455850 2091130 2300243 2911700 4182260 4600486 5227825 9200972 10455650 11501215 20911300 23002430 46004860 57506075 115012150 230024300