Search a number
-
+
221416616441 is a prime number
BaseRepresentation
bin1100111000110101110…
…1010111000111111001
3210011111220102112011202
43032031131113013321
512111430123211231
6245414542303545
721665624120666
oct3161535270771
9704456375152
10221416616441
11859a19a9109
1236ab3b87bb5
1317b58342897
14aa065a2a6d
155b5d7685cb
hex338d7571f9

221416616441 has 2 divisors, whose sum is σ = 221416616442. Its totient is φ = 221416616440.

The previous prime is 221416616401. The next prime is 221416616579. The reversal of 221416616441 is 144616614122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120822979216 + 100593637225 = 347596^2 + 317165^2 .

It is a cyclic number.

It is not a de Polignac number, because 221416616441 - 222 = 221412422137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221416616395 and 221416616404.

It is not a weakly prime, because it can be changed into another prime (221416616401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110708308220 + 110708308221.

It is an arithmetic number, because the mean of its divisors is an integer number (110708308221).

Almost surely, 2221416616441 is an apocalyptic number.

It is an amenable number.

221416616441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221416616441 is an equidigital number, since it uses as much as digits as its factorization.

221416616441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55296, while the sum is 38.

The spelling of 221416616441 in words is "two hundred twenty-one billion, four hundred sixteen million, six hundred sixteen thousand, four hundred forty-one".