Search a number
-
+
223015957 is a prime number
BaseRepresentation
bin11010100101011…
…11010000010101
3120112122101101021
431102233100111
5424043002312
634044001141
75345414203
oct1522572025
9515571337
10223015957
1110498320a
12628301b1
1337285408
1421894073
15148a3c07
hexd4af415

223015957 has 2 divisors, whose sum is σ = 223015958. Its totient is φ = 223015956.

The previous prime is 223015913. The next prime is 223015963. The reversal of 223015957 is 759510322.

223015957 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 can be written as a sum of positive squares in only one way, i.e., 219306481 + 3709476 = 14809^2 + 1926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223015957 is a prime.

It is a super-2 number, since 2×2230159572 = 99472234153251698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223015907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111507978 + 111507979.

It is an arithmetic number, because the mean of its divisors is an integer number (111507979).

Almost surely, 2223015957 is an apocalyptic number.

It is an amenable number.

223015957 is a deficient number, since it is larger than the sum of its proper divisors (1).

223015957 is an equidigital number, since it uses as much as digits as its factorization.

223015957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 223015957 is about 14933.7187933883. The cubic root of 223015957 is about 606.4271632723.

The spelling of 223015957 in words is "two hundred twenty-three million, fifteen thousand, nine hundred fifty-seven".