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2167625981 is a prime number
BaseRepresentation
bin1000000100110011…
…0101100011111101
312121001202210211202
42001030311203331
513414403012411
6555031425245
7104500342163
oct20114654375
95531683752
102167625981
11a12628534
12505b25225
13287107c31
14167c51233
15ca47483b
hex813358fd

2167625981 has 2 divisors, whose sum is σ = 2167625982. Its totient is φ = 2167625980.

The previous prime is 2167625969. The next prime is 2167625983. The reversal of 2167625981 is 1895267612.

It is a happy number.

2167625981 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., 1805485081 + 362140900 = 42491^2 + 19030^2 .

It is a cyclic number.

It is not a de Polignac number, because 2167625981 - 210 = 2167624957 is a prime.

It is a super-2 number, since 2×21676259812 = 9397204787012424722, which contains 22 as substring.

Together with 2167625983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2167625983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083812990 + 1083812991.

It is an arithmetic number, because the mean of its divisors is an integer number (1083812991).

Almost surely, 22167625981 is an apocalyptic number.

It is an amenable number.

2167625981 is a deficient number, since it is larger than the sum of its proper divisors (1).

2167625981 is an equidigital number, since it uses as much as digits as its factorization.

2167625981 is an evil number, because the sum of its binary digits is even.

The product of its digits is 362880, while the sum is 47.

The square root of 2167625981 is about 46557.7703611331. The cubic root of 2167625981 is about 1294.1802937042.

The spelling of 2167625981 in words is "two billion, one hundred sixty-seven million, six hundred twenty-five thousand, nine hundred eighty-one".