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2421104200 = 2352231633229
BaseRepresentation
bin1001000001001111…
…0001111001001000
320020201201211120221
42100103301321020
514424300313300
61040124355424
7113666021554
oct22023617110
96221654527
102421104200
111032717469
125769a5b74
132c7797848
1418d794864
15e284431a
hex904f1e48

2421104200 has 96 divisors (see below), whose sum is σ = 5911675200. Its totient is φ = 920367360.

The previous prime is 2421104167. The next prime is 2421104201. The reversal of 2421104200 is 24011242.

It is not an unprimeable number, because it can be changed into a prime (2421104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748186 + ... + 751414.

It is an arithmetic number, because the mean of its divisors is an integer number (61579950).

Almost surely, 22421104200 is an apocalyptic number.

2421104200 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 2421104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955837600).

2421104200 is an abundant number, since it is smaller than the sum of its proper divisors (3490571000).

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

2421104200 is a wasteful number, since it uses less digits than its factorization.

2421104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2421104200 is about 49204.7172535317. The cubic root of 2421104200 is about 1342.7788549716.

Adding to 2421104200 its reverse (24011242), we get a palindrome (2445115442).

The spelling of 2421104200 in words is "two billion, four hundred twenty-one million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 163 184 200 230 326 460 575 652 815 920 1150 1304 1630 2300 3229 3260 3749 4075 4600 6458 6520 7498 8150 12916 14996 16145 16300 18745 25832 29992 32290 32600 37490 64580 74267 74980 80725 93725 129160 148534 149960 161450 187450 297068 322900 371335 374900 526327 594136 645800 742670 749800 1052654 1485340 1856675 2105308 2631635 2970680 3713350 4210616 5263270 7426700 10526540 12105521 13158175 14853400 21053080 24211042 26316350 48422084 52632700 60527605 96844168 105265400 121055210 242110420 302638025 484220840 605276050 1210552100 2421104200