Search a number
-
+
221966509 is a prime number
BaseRepresentation
bin11010011101011…
…11000010101101
3120110200001210211
431032233002231
5423310412014
634005302421
75333453452
oct1516570255
9513601724
10221966509
111043267a6
1262404a11
1336ca883b
142169d829
1514747cc4
hexd3af0ad

221966509 has 2 divisors, whose sum is σ = 221966510. Its totient is φ = 221966508.

The previous prime is 221966489. The next prime is 221966533. The reversal of 221966509 is 905669122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184878409 + 37088100 = 13597^2 + 6090^2 .

It is a cyclic number.

It is not a de Polignac number, because 221966509 - 223 = 213577901 is a prime.

It is a super-2 number, since 2×2219665092 = 98538262235294162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221966539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110983254 + 110983255.

It is an arithmetic number, because the mean of its divisors is an integer number (110983255).

Almost surely, 2221966509 is an apocalyptic number.

It is an amenable number.

221966509 is a deficient number, since it is larger than the sum of its proper divisors (1).

221966509 is an equidigital number, since it uses as much as digits as its factorization.

221966509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 221966509 is about 14898.5404989885. The cubic root of 221966509 is about 605.4744442243.

The spelling of 221966509 in words is "two hundred twenty-one million, nine hundred sixty-six thousand, five hundred nine".