Search a number
-
+
223314101 is a prime number
BaseRepresentation
bin11010100111110…
…00000010110101
3120120012112100122
431103320002311
5424132022401
634054221325
75351065343
oct1523700265
9516175318
10223314101
1110506720a
1262954845
133735b02a
1421930993
151491221b
hexd4f80b5

223314101 has 2 divisors, whose sum is σ = 223314102. Its totient is φ = 223314100.

The previous prime is 223314097. The next prime is 223314127. The reversal of 223314101 is 101413322.

223314101 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., 213919876 + 9394225 = 14626^2 + 3065^2 .

It is a cyclic number.

It is not a de Polignac number, because 223314101 - 22 = 223314097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223314101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223314151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111657050 + 111657051.

It is an arithmetic number, because the mean of its divisors is an integer number (111657051).

Almost surely, 2223314101 is an apocalyptic number.

It is an amenable number.

223314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223314101 is an equidigital number, since it uses as much as digits as its factorization.

223314101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 223314101 is about 14943.6977017069. The cubic root of 223314101 is about 606.6972816267.

Adding to 223314101 its reverse (101413322), we get a palindrome (324727423).

The spelling of 223314101 in words is "two hundred twenty-three million, three hundred fourteen thousand, one hundred one".