Search a number
-
+
2223006561233 is a prime number
BaseRepresentation
bin100000010110010101100…
…001000011001111010001
321212111222011000221100222
4200112111201003033101
5242410204134424413
64421122441322425
7316415113666433
oct40262541031721
97774864027328
102223006561233
11787854282a57
122baa00496415
131318230cbc93
147984628a653
153cc5b10ab08
hex205958433d1

2223006561233 has 2 divisors, whose sum is σ = 2223006561234. Its totient is φ = 2223006561232.

The previous prime is 2223006561211. The next prime is 2223006561239. The reversal of 2223006561233 is 3321656003222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1815748165009 + 407258396224 = 1347497^2 + 638168^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223006561233 - 28 = 2223006560977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2223006561193 and 2223006561202.

It is not a weakly prime, because it can be changed into another prime (2223006561239) 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, 1111503280616 + 1111503280617.

It is an arithmetic number, because the mean of its divisors is an integer number (1111503280617).

Almost surely, 22223006561233 is an apocalyptic number.

It is an amenable number.

2223006561233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223006561233 is an equidigital number, since it uses as much as digits as its factorization.

2223006561233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 2223006561233 in words is "two trillion, two hundred twenty-three billion, six million, five hundred sixty-one thousand, two hundred thirty-three".