Search a number
-
+
223222823 is a prime number
BaseRepresentation
bin11010100111000…
…01110000100111
3120120000220010222
431103201300213
5424121112243
634052234555
75350235255
oct1523416047
9516026128
10223222823
1110500467a
126290ba5b
1337328615
14219095d5
15148e5168
hexd4e1c27

223222823 has 2 divisors, whose sum is σ = 223222824. Its totient is φ = 223222822.

The previous prime is 223222817. The next prime is 223222829. The reversal of 223222823 is 328222322.

223222823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (223222817) and next prime (223222829).

It is a cyclic number.

It is not a de Polignac number, because 223222823 - 212 = 223218727 is a prime.

It is a super-3 number, since 3×2232228233 (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 223222792 and 223222801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223222829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611411 + 111611412.

It is an arithmetic number, because the mean of its divisors is an integer number (111611412).

Almost surely, 2223222823 is an apocalyptic number.

223222823 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222823 is an equidigital number, since it uses as much as digits as its factorization.

223222823 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 26.

The square root of 223222823 is about 14940.6433261758. The cubic root of 223222823 is about 606.6146093412.

The spelling of 223222823 in words is "two hundred twenty-three million, two hundred twenty-two thousand, eight hundred twenty-three".