Search a number
-
+
221300320229 is a prime number
BaseRepresentation
bin1100111000011010000…
…1101110011111100101
3210011012210121001202122
43032012201232133211
512111210340221404
6245355225515325
721663012453662
oct3160641563745
9704183531678
10221300320229
118594229703a
1236a81042b45
1317b3a214761
14a9d4d6ca69
155b534453be
hex338686e7e5

221300320229 has 2 divisors, whose sum is σ = 221300320230. Its totient is φ = 221300320228.

The previous prime is 221300320183. The next prime is 221300320303. The reversal of 221300320229 is 922023003122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175395115204 + 45905205025 = 418802^2 + 214255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221300320229 is a prime.

It is a super-2 number, since 2×2213003202292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221300320198 and 221300320207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221300320429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650160114 + 110650160115.

It is an arithmetic number, because the mean of its divisors is an integer number (110650160115).

Almost surely, 2221300320229 is an apocalyptic number.

It is an amenable number.

221300320229 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300320229 is an equidigital number, since it uses as much as digits as its factorization.

221300320229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 221300320229 in words is "two hundred twenty-one billion, three hundred million, three hundred twenty thousand, two hundred twenty-nine".