Search a number
-
+
2223365101 is a prime number
BaseRepresentation
bin1000010010000101…
…1101101111101101
312201221122122112121
42010201131233231
514023140140401
61004342232541
7106045201666
oct20441355755
95657578477
102223365101
11a41039121
12520725751
13295822669
1417140036d
15d02d4ca1
hex8485dbed

2223365101 has 2 divisors, whose sum is σ = 2223365102. Its totient is φ = 2223365100.

The previous prime is 2223365093. The next prime is 2223365141. The reversal of 2223365101 is 1015633222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1191285225 + 1032079876 = 34515^2 + 32126^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223365101 - 23 = 2223365093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223365141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111682550 + 1111682551.

It is an arithmetic number, because the mean of its divisors is an integer number (1111682551).

Almost surely, 22223365101 is an apocalyptic number.

It is an amenable number.

2223365101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223365101 is an equidigital number, since it uses as much as digits as its factorization.

2223365101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 2223365101 is about 47152.5725809314. The cubic root of 2223365101 is about 1305.1795530066.

Adding to 2223365101 its reverse (1015633222), we get a palindrome (3238998323).

The spelling of 2223365101 in words is "two billion, two hundred twenty-three million, three hundred sixty-five thousand, one hundred one".