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2227057829 is a prime number
BaseRepresentation
bin1000010010111110…
…0011010010100101
312202012121021000022
42010233203102211
514030111322304
61004553324525
7106121451653
oct20457432245
95665537008
102227057829
11a43130567
12521a06745
132965163c9
14171ac1dd3
15d07b3ebe
hex84be34a5

2227057829 has 2 divisors, whose sum is σ = 2227057830. Its totient is φ = 2227057828.

The previous prime is 2227057751. The next prime is 2227057831. The reversal of 2227057829 is 9287507222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1971537604 + 255520225 = 44402^2 + 15985^2 .

It is a cyclic number.

It is not a de Polignac number, because 2227057829 - 228 = 1958622373 is a prime.

Together with 2227057831, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2227057829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2227057879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113528914 + 1113528915.

It is an arithmetic number, because the mean of its divisors is an integer number (1113528915).

Almost surely, 22227057829 is an apocalyptic number.

It is an amenable number.

2227057829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2227057829 is an equidigital number, since it uses as much as digits as its factorization.

2227057829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 2227057829 is about 47191.7135628703. The cubic root of 2227057829 is about 1305.9017326805.

The spelling of 2227057829 in words is "two billion, two hundred twenty-seven million, fifty-seven thousand, eight hundred twenty-nine".