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2213982761 is a prime number
BaseRepresentation
bin1000001111110110…
…1011001000101001
312201021222222101112
42003331223020221
514013234422021
61003405200105
7105602354144
oct20375531051
95637888345
102213982761
11a36810021
12519560035
132938b8c93
1417007b05b
15ce57ed5b
hex83f6b229

2213982761 has 2 divisors, whose sum is σ = 2213982762. Its totient is φ = 2213982760.

The previous prime is 2213982731. The next prime is 2213982791. The reversal of 2213982761 is 1672893122.

2213982761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2213982731) and next prime (2213982791).

It can be written as a sum of positive squares in only one way, i.e., 1816379161 + 397603600 = 42619^2 + 19940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213982761 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213982731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106991380 + 1106991381.

It is an arithmetic number, because the mean of its divisors is an integer number (1106991381).

Almost surely, 22213982761 is an apocalyptic number.

It is an amenable number.

2213982761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213982761 is an equidigital number, since it uses as much as digits as its factorization.

2213982761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576, while the sum is 41.

The square root of 2213982761 is about 47052.9782373018. The cubic root of 2213982761 is about 1303.3410629523.

The spelling of 2213982761 in words is "two billion, two hundred thirteen million, nine hundred eighty-two thousand, seven hundred sixty-one".