Search a number
-
+
224541262513 is a prime number
BaseRepresentation
bin1101000100011110110…
…0111100001010110001
3210110120122222222210001
43101013230330022301
512134330030400023
6251053002310001
722136225145211
oct3210754741261
9713518888701
10224541262513
1187255763a37
12376264b8301
13182357b9999
14ac21574241
155c92c2e6ad
hex3447b3c2b1

224541262513 has 2 divisors, whose sum is σ = 224541262514. Its totient is φ = 224541262512.

The previous prime is 224541262489. The next prime is 224541262541. The reversal of 224541262513 is 315262145422.

224541262513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215200426609 + 9340835904 = 463897^2 + 96648^2 .

It is a cyclic number.

It is not a de Polignac number, because 224541262513 - 225 = 224507708081 is a prime.

It is not a weakly prime, because it can be changed into another prime (224541262013) 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 as a sum of consecutive naturals, namely, 112270631256 + 112270631257.

It is an arithmetic number, because the mean of its divisors is an integer number (112270631257).

Almost surely, 2224541262513 is an apocalyptic number.

It is an amenable number.

224541262513 is a deficient number, since it is larger than the sum of its proper divisors (1).

224541262513 is an equidigital number, since it uses as much as digits as its factorization.

224541262513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 115200, while the sum is 37.

The spelling of 224541262513 in words is "two hundred twenty-four billion, five hundred forty-one million, two hundred sixty-two thousand, five hundred thirteen".