Search a number
-
+
200522522024405 = 57456929355449
BaseRepresentation
bin101101100101111111001001…
…101100011101100111010101
3222021222202200100000011010222
4231211333021230131213111
5202240330111114240110
61550250435213524125
760144163012250000
oct5545771154354725
9867882610004128
10200522522024405
1158990140087059
121a5a6736aa3645
1387b72674556c9
1437734b0074537
15182b0b7069c55
hexb65fc9b1d9d5

200522522024405 has 40 divisors (see below), whose sum is σ = 281208184839000. Its totient is φ = 137259499227648.

The previous prime is 200522522024401. The next prime is 200522522024543. The reversal of 200522522024405 is 504420225225002.

It can be written as a sum of positive squares in 4 ways, for example, as 433830360964 + 200088691663441 = 658658^2 + 14145271^2 .

It is not a de Polignac number, because 200522522024405 - 22 = 200522522024401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200522522024401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7846880 + ... + 21508569.

It is an arithmetic number, because the mean of its divisors is an integer number (7030204620975).

Almost surely, 2200522522024405 is an apocalyptic number.

It is an amenable number.

200522522024405 is a deficient number, since it is larger than the sum of its proper divisors (80685662814595).

200522522024405 is an frugal number, since it uses more digits than its factorization.

200522522024405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29356051 (or 29356030 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 200522522024405 its reverse (504420225225002), we get a palindrome (704942747249407).

The spelling of 200522522024405 in words is "two hundred trillion, five hundred twenty-two billion, five hundred twenty-two million, twenty-four thousand, four hundred five".

Divisors: 1 5 7 35 49 245 343 569 1715 2401 2845 3983 12005 19915 27881 139405 195167 975835 1366169 6830845 29355449 146777245 205488143 1027440715 1438417001 7192085005 10068919007 16703250481 50344595035 70482433049 83516252405 116922753367 352412165245 584613766835 818459273569 4092296367845 5729214914983 28646074574915 40104504404881 200522522024405