Search a number
-
+
2033022077 is a prime number
BaseRepresentation
bin111100100101101…
…0111010001111101
312020200111012222222
41321023113101331
513130423201302
6533422415125
7101244255032
oct17113272175
95220435888
102033022077
11953651639
12488a314a5
13265269a58
14154013389
15bd736da2
hex792d747d

2033022077 has 2 divisors, whose sum is σ = 2033022078. Its totient is φ = 2033022076.

The previous prime is 2033021987. The next prime is 2033022109. The reversal of 2033022077 is 7702203302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2010087556 + 22934521 = 44834^2 + 4789^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033022077 - 230 = 959280253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033022977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016511038 + 1016511039.

It is an arithmetic number, because the mean of its divisors is an integer number (1016511039).

Almost surely, 22033022077 is an apocalyptic number.

It is an amenable number.

2033022077 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033022077 is an equidigital number, since it uses as much as digits as its factorization.

2033022077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 2033022077 is about 45089.0460866051. The cubic root of 2033022077 is about 1266.8174341853.

Adding to 2033022077 its reverse (7702203302), we get a palindrome (9735225379).

It can be divided in two parts, 203302 and 2077, that added together give a cube (205379 = 593).

The spelling of 2033022077 in words is "two billion, thirty-three million, twenty-two thousand, seventy-seven".