Search a number
-
+
106222693 is a prime number
BaseRepresentation
bin1100101010011…
…01010001100101
321101212200010211
412111031101211
5204143111233
614312415421
72426610103
oct625152145
9241780124
10106222693
1154a61755
122b6a7571
1319011c85
1410170c73
1594d35cd
hex654d465

106222693 has 2 divisors, whose sum is σ = 106222694. Its totient is φ = 106222692.

The previous prime is 106222667. The next prime is 106222703. The reversal of 106222693 is 396222601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106048804 + 173889 = 10298^2 + 417^2 .

It is a cyclic number.

It is not a de Polignac number, because 106222693 - 225 = 72668261 is a prime.

It is a super-2 number, since 2×1062226932 = 22566521016344498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106222643) 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, 53111346 + 53111347.

It is an arithmetic number, because the mean of its divisors is an integer number (53111347).

Almost surely, 2106222693 is an apocalyptic number.

It is an amenable number.

106222693 is a deficient number, since it is larger than the sum of its proper divisors (1).

106222693 is an equidigital number, since it uses as much as digits as its factorization.

106222693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 106222693 is about 10306.4393948638. The cubic root of 106222693 is about 473.5935393458.

The spelling of 106222693 in words is "one hundred six million, two hundred twenty-two thousand, six hundred ninety-three".