Search a number
-
+
5224412144225 = 521761201520237
BaseRepresentation
bin100110000000110011100…
…1110101110001001100001
3200111110010021011020012102
41030001213032232021201
51141044044002103400
615040021203340145
71046310542341241
oct114014716561141
920443107136172
105224412144225
11173472a500a6a
12704639081655
132bb876bb38a1
14140c11b09b21
1590d73e489d5
hex4c0673ae261

5224412144225 has 24 divisors (see below), whose sum is σ = 6971794153848. Its totient is φ = 3869188531200.

The previous prime is 5224412144221. The next prime is 5224412144239.

5224412144225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 1312280220304 + 3912131923921 = 1145548^2 + 1977911^2 .

It is not a de Polignac number, because 5224412144225 - 22 = 5224412144221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5224412144221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100734194 + ... + 100786043.

It is an arithmetic number, because the mean of its divisors is an integer number (290491423077).

Almost surely, 25224412144225 is an apocalyptic number.

It is an amenable number.

5224412144225 is a deficient number, since it is larger than the sum of its proper divisors (1747382009623).

5224412144225 is a wasteful number, since it uses less digits than its factorization.

5224412144225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201520325 (or 201520320 counting only the distinct ones).

The product of its digits is 204800, while the sum is 38.

The spelling of 5224412144225 in words is "five trillion, two hundred twenty-four billion, four hundred twelve million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 17 25 61 85 305 425 1037 1525 5185 25925 201520237 1007601185 3425844029 5038005925 12292734457 17129220145 61463672285 85646100725 208976485769 307318361425 1044882428845 5224412144225