Search a number
-
+
222417131 is a prime number
BaseRepresentation
bin11010100000111…
…01000011101011
3120111111221221112
431100131003223
5423414322011
634023100535
75340341306
oct1520350353
9514457845
10222417131
11104604312
12625a174b
1337105991
1421779b3d
15147d658b
hexd41d0eb

222417131 has 2 divisors, whose sum is σ = 222417132. Its totient is φ = 222417130.

The previous prime is 222417127. The next prime is 222417133. The reversal of 222417131 is 131714222.

222417131 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 is a cyclic number.

It is not a de Polignac number, because 222417131 - 22 = 222417127 is a prime.

It is a super-2 number, since 2×2224171312 = 98938760324542322, which contains 22 as substring.

Together with 222417133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222417097 and 222417106.

It is not a weakly prime, because it can be changed into another prime (222417133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111208565 + 111208566.

It is an arithmetic number, because the mean of its divisors is an integer number (111208566).

Almost surely, 2222417131 is an apocalyptic number.

222417131 is a deficient number, since it is larger than the sum of its proper divisors (1).

222417131 is an equidigital number, since it uses as much as digits as its factorization.

222417131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 23.

The square root of 222417131 is about 14913.6558562949. The cubic root of 222417131 is about 605.8838989060.

The spelling of 222417131 in words is "two hundred twenty-two million, four hundred seventeen thousand, one hundred thirty-one".