Search a number
-
+
24230324300 = 22527132204821
BaseRepresentation
bin10110100100001111…
…010110100001001100
32022112122122000020112
4112210033112201030
5344110430334200
615044203535152
71515310233620
oct264417264114
968478560215
1024230324300
11a304428306
12484282a4b8
132391c40100
14125c073180
1596c33a535
hex5a43d684c

24230324300 has 108 divisors (see below), whose sum is σ = 65069491536. Its totient is φ = 7668460800.

The previous prime is 24230324233. The next prime is 24230324309. The reversal of 24230324300 is 342303242.

It is not an unprimeable number, because it can be changed into a prime (24230324309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15890 + ... + 220710.

It is an arithmetic number, because the mean of its divisors is an integer number (602495292).

Almost surely, 224230324300 is an apocalyptic number.

24230324300 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 24230324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32534745768).

24230324300 is an abundant number, since it is smaller than the sum of its proper divisors (40839167236).

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

24230324300 is a wasteful number, since it uses less digits than its factorization.

24230324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204868 (or 204848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 24230324300 its reverse (342303242), we get a palindrome (24572627542).

The spelling of 24230324300 in words is "twenty-four billion, two hundred thirty million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 182 260 325 338 350 364 455 650 676 700 845 910 1183 1300 1690 1820 2275 2366 3380 4225 4550 4732 5915 8450 9100 11830 16900 23660 29575 59150 118300 204821 409642 819284 1024105 1433747 2048210 2662673 2867494 4096420 5120525 5325346 5734988 7168735 10241050 10650692 13313365 14337470 18638711 20482100 26626730 28674940 34614749 35843675 37277422 53253460 66566825 69229498 71687350 74554844 93193555 133133650 138458996 143374700 173073745 186387110 242303243 266267300 346147490 372774220 465967775 484606486 692294980 865368725 931935550 969212972 1211516215 1730737450 1863871100 2423032430 3461474900 4846064860 6057581075 12115162150 24230324300