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20242343200 = 2552104924121
BaseRepresentation
bin10010110110100010…
…011010010100100000
31221020201112120121211
4102312202122110200
5312424014440300
613144343355504
71314424035562
oct226642322440
957221476554
1020242343200
118648303062
123b0b152b94
131ba7969191
14da056b332
157d718b4ba
hex4b689a520

20242343200 has 72 divisors (see below), whose sum is σ = 49465779300. Its totient is φ = 8088883200.

The previous prime is 20242343189. The next prime is 20242343227. The reversal of 20242343200 is 234324202.

It can be written as a sum of positive squares in 6 ways, for example, as 9808129296 + 10434213904 = 99036^2 + 102148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 827140 + ... + 851260.

Almost surely, 220242343200 is an apocalyptic number.

20242343200 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 20242343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24732889650).

20242343200 is an abundant number, since it is smaller than the sum of its proper divisors (29223436100).

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

20242343200 is a wasteful number, since it uses less digits than its factorization.

20242343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25190 (or 25177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20242343200 its reverse (234324202), we get a palindrome (20476667402).

The spelling of 20242343200 in words is "twenty billion, two hundred forty-two million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1049 2098 4196 5245 8392 10490 16784 20980 24121 26225 33568 41960 48242 52450 83920 96484 104900 120605 167840 192968 209800 241210 385936 419600 482420 603025 771872 839200 964840 1206050 1929680 2412100 3859360 4824200 9648400 19296800 25302929 50605858 101211716 126514645 202423432 253029290 404846864 506058580 632573225 809693728 1012117160 1265146450 2024234320 2530292900 4048468640 5060585800 10121171600 20242343200