Search a number
-
+
78237221 is a prime number
BaseRepresentation
bin1001010100111…
…00111000100101
312110012212021212
410222130320211
5130012042341
611432521205
71640001566
oct452347045
9173185255
1078237221
1140187867
1222250205
1313293c1a
14a56816d
156d065eb
hex4a9ce25

78237221 has 2 divisors, whose sum is σ = 78237222. Its totient is φ = 78237220.

The previous prime is 78237217. The next prime is 78237233. The reversal of 78237221 is 12273287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72012196 + 6225025 = 8486^2 + 2495^2 .

It is a cyclic number.

It is not a de Polignac number, because 78237221 - 22 = 78237217 is a prime.

It is a super-3 number, since 3×782372213 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78237821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39118610 + 39118611.

It is an arithmetic number, because the mean of its divisors is an integer number (39118611).

Almost surely, 278237221 is an apocalyptic number.

It is an amenable number.

78237221 is a deficient number, since it is larger than the sum of its proper divisors (1).

78237221 is an equidigital number, since it uses as much as digits as its factorization.

78237221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408, while the sum is 32.

The square root of 78237221 is about 8845.1806651984. The cubic root of 78237221 is about 427.6985769654.

The spelling of 78237221 in words is "seventy-eight million, two hundred thirty-seven thousand, two hundred twenty-one".