Search a number
-
+
24022430000 = 24545934051
BaseRepresentation
bin10110010111110110…
…010011000100110000
32022000011102212212122
4112113312103010300
5343144220230000
615011420013412
71510204200032
oct262766230460
968004385778
1024022430000
11a208043238
1247a5091268
13235ab5082a
14123c5d7c52
15958e72085
hex597d93130

24022430000 has 100 divisors (see below), whose sum is σ = 58273165368. Its totient is φ = 9590400000.

The previous prime is 24022429979. The next prime is 24022430011. The reversal of 24022430000 is 3422042.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5927975 + ... + 5932025.

Almost surely, 224022430000 is an apocalyptic number.

24022430000 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 24022430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29136582684).

24022430000 is an abundant number, since it is smaller than the sum of its proper divisors (34250735368).

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

24022430000 is an equidigital number, since it uses as much as digits as its factorization.

24022430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 24022430000 its reverse (3422042), we get a palindrome (24025852042).

The spelling of 24022430000 in words is "twenty-four billion, twenty-two million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 593 625 1000 1186 1250 2000 2372 2500 2965 4051 4744 5000 5930 8102 9488 10000 11860 14825 16204 20255 23720 29650 32408 40510 47440 59300 64816 74125 81020 101275 118600 148250 162040 202550 237200 296500 324080 370625 405100 506375 593000 741250 810200 1012750 1186000 1482500 1620400 2025500 2402243 2531875 2965000 4051000 4804486 5063750 5930000 8102000 9608972 10127500 12011215 19217944 20255000 24022430 38435888 40510000 48044860 60056075 96089720 120112150 192179440 240224300 300280375 480448600 600560750 960897200 1201121500 1501401875 2402243000 3002803750 4804486000 6005607500 12011215000 24022430000