Search a number
-
+
2246466077 is a prime number
BaseRepresentation
bin1000010111100110…
…0101101000011101
312210120010022010022
42011321211220131
514100043403302
61010525321525
7106445434532
oct20571455035
95716108108
102246466077
11a53087239
125284062a5
1329a55038b
141744d4d89
15d23498a2
hex85e65a1d

2246466077 has 2 divisors, whose sum is σ = 2246466078. Its totient is φ = 2246466076.

The previous prime is 2246466059. The next prime is 2246466091. The reversal of 2246466077 is 7706646422.

2246466077 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., 2211726841 + 34739236 = 47029^2 + 5894^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2246466077 is a prime.

It is a super-2 number, since 2×22464660772 = 10093219670223539858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2246466017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123233038 + 1123233039.

It is an arithmetic number, because the mean of its divisors is an integer number (1123233039).

Almost surely, 22246466077 is an apocalyptic number.

It is an amenable number.

2246466077 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246466077 is an equidigital number, since it uses as much as digits as its factorization.

2246466077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 44.

The square root of 2246466077 is about 47396.8994450059. The cubic root of 2246466077 is about 1309.6843007097.

The spelling of 2246466077 in words is "two billion, two hundred forty-six million, four hundred sixty-six thousand, seventy-seven".