Search a number
-
+
221738041793 is a prime number
BaseRepresentation
bin1100111010000010011…
…1100000000111000001
3210012100022020121212102
43032200213200013001
512113104414314133
6245510503440145
722006606154102
oct3164047400701
9705308217772
10221738041793
11860473867a4
1236b83756055
1317ba9b027b8
14aa371523a9
155b7baaa7e8
hex33a09e01c1

221738041793 has 2 divisors, whose sum is σ = 221738041794. Its totient is φ = 221738041792.

The previous prime is 221738041741. The next prime is 221738041853. The reversal of 221738041793 is 397140837122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137319901489 + 84418140304 = 370567^2 + 290548^2 .

It is a cyclic number.

It is not a de Polignac number, because 221738041793 - 230 = 220664299969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221738041093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110869020896 + 110869020897.

It is an arithmetic number, because the mean of its divisors is an integer number (110869020897).

Almost surely, 2221738041793 is an apocalyptic number.

It is an amenable number.

221738041793 is a deficient number, since it is larger than the sum of its proper divisors (1).

221738041793 is an equidigital number, since it uses as much as digits as its factorization.

221738041793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 221738041793 in words is "two hundred twenty-one billion, seven hundred thirty-eight million, forty-one thousand, seven hundred ninety-three".