Search a number
-
+
221624093 is a prime number
BaseRepresentation
bin11010011010110…
…11011100011101
3120110000200002202
431031123130131
5423213432333
633554101245
75330526245
oct1515333435
9513020082
10221624093
11104112509
126227a825
1336bb8a22
1421610b25
15146cb5e8
hexd35b71d

221624093 has 2 divisors, whose sum is σ = 221624094. Its totient is φ = 221624092.

The previous prime is 221624089. The next prime is 221624153. The reversal of 221624093 is 390426122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154678969 + 66945124 = 12437^2 + 8182^2 .

It is a cyclic number.

It is not a de Polignac number, because 221624093 - 22 = 221624089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221624033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110812046 + 110812047.

It is an arithmetic number, because the mean of its divisors is an integer number (110812047).

Almost surely, 2221624093 is an apocalyptic number.

It is an amenable number.

221624093 is a deficient number, since it is larger than the sum of its proper divisors (1).

221624093 is an equidigital number, since it uses as much as digits as its factorization.

221624093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 221624093 is about 14887.0444682617. The cubic root of 221624093 is about 605.1629395157.

The spelling of 221624093 in words is "two hundred twenty-one million, six hundred twenty-four thousand, ninety-three".