Search a number
-
+
58233229 is a prime number
BaseRepresentation
bin1101111000100…
…1000110001101
311001120112222021
43132021012031
5104401430404
65440050141
71304655115
oct336110615
9131515867
1058233229
112a96453a
1217603951
13c0aba42
147a3c045
1551a4454
hex378918d

58233229 has 2 divisors, whose sum is σ = 58233230. Its totient is φ = 58233228.

The previous prime is 58233181. The next prime is 58233239. The reversal of 58233229 is 92233285.

58233229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57229225 + 1004004 = 7565^2 + 1002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58233229 is a prime.

It is a super-2 number, since 2×582332292 = 6782217919532882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58233194 and 58233203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58233239) 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, 29116614 + 29116615.

It is an arithmetic number, because the mean of its divisors is an integer number (29116615).

Almost surely, 258233229 is an apocalyptic number.

It is an amenable number.

58233229 is a deficient number, since it is larger than the sum of its proper divisors (1).

58233229 is an equidigital number, since it uses as much as digits as its factorization.

58233229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 34.

The square root of 58233229 is about 7631.0699774016. The cubic root of 58233229 is about 387.6058211164.

The spelling of 58233229 in words is "fifty-eight million, two hundred thirty-three thousand, two hundred twenty-nine".