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2272105637 is a prime number
BaseRepresentation
bin1000011101101101…
…1001010010100101
312212100100220222122
42013123121102211
514123124340022
61013243035325
7110206402454
oct20733312245
95770326878
102272105637
11a665a965a
12534b0bb45
132a2959709
14177a8ab9b
15d4711742
hex876d94a5

2272105637 has 2 divisors, whose sum is σ = 2272105638. Its totient is φ = 2272105636.

The previous prime is 2272105621. The next prime is 2272105639. The reversal of 2272105637 is 7365012722.

2272105637 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., 2272047556 + 58081 = 47666^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 2272105637 - 24 = 2272105621 is a prime.

Together with 2272105639, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2272105597 and 2272105606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2272105639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1136052818 + 1136052819.

It is an arithmetic number, because the mean of its divisors is an integer number (1136052819).

Almost surely, 22272105637 is an apocalyptic number.

It is an amenable number.

2272105637 is a deficient number, since it is larger than the sum of its proper divisors (1).

2272105637 is an equidigital number, since it uses as much as digits as its factorization.

2272105637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 2272105637 is about 47666.6092458862. The cubic root of 2272105637 is about 1314.6480645803.

The spelling of 2272105637 in words is "two billion, two hundred seventy-two million, one hundred five thousand, six hundred thirty-seven".