Search a number
-
+
221825117 is a prime number
BaseRepresentation
bin11010011100011…
…00100001011101
3120110101212212002
431032030201131
5423241400432
634002252045
75332324313
oct1516144135
9513355762
10221825117
1110423a548
1262357025
1336c59387
14216640b3
151471ae62
hexd38c85d

221825117 has 2 divisors, whose sum is σ = 221825118. Its totient is φ = 221825116.

The previous prime is 221825083. The next prime is 221825159. The reversal of 221825117 is 711528122.

221825117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169494361 + 52330756 = 13019^2 + 7234^2 .

It is a cyclic number.

It is not a de Polignac number, because 221825117 - 28 = 221824861 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221825117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221827117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110912558 + 110912559.

It is an arithmetic number, because the mean of its divisors is an integer number (110912559).

Almost surely, 2221825117 is an apocalyptic number.

It is an amenable number.

221825117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221825117 is an equidigital number, since it uses as much as digits as its factorization.

221825117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2240, while the sum is 29.

The square root of 221825117 is about 14893.7945802942. The cubic root of 221825117 is about 605.3458551156.

The spelling of 221825117 in words is "two hundred twenty-one million, eight hundred twenty-five thousand, one hundred seventeen".