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2228123209 = 13236312
BaseRepresentation
bin1000010011001110…
…0111011001001001
312202021121101102211
42010303213121021
514030344420314
61005032225121
7106133510014
oct20463473111
95667541384
102228123209
11a43798a44
1252223b1a1
132967ca300
14171cbc37b
15d09249c4
hex84ce7649

2228123209 has 9 divisors (see below), whose sum is σ = 2413366119. Its totient is φ = 2056162680.

The previous prime is 2228123159. The next prime is 2228123231. The reversal of 2228123209 is 9023218222.

The square root of 2228123209 is 47203.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 329604025 + 1898519184 = 18155^2 + 43572^2 .

It is not a de Polignac number, because 2228123209 - 213 = 2228115017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2228123269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611824 + ... + 615454.

It is an arithmetic number, because the mean of its divisors is an integer number (268151791).

Almost surely, 22228123209 is an apocalyptic number.

2228123209 is the 47203-rd square number.

2228123209 is the 23602-nd centered octagonal number.

It is an amenable number.

2228123209 is a deficient number, since it is larger than the sum of its proper divisors (185242910).

2228123209 is an frugal number, since it uses more digits than its factorization.

2228123209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 2228123209 is about 1306.1099385887.

The spelling of 2228123209 in words is "two billion, two hundred twenty-eight million, one hundred twenty-three thousand, two hundred nine".

Divisors: 1 13 169 3631 47203 613639 13184161 171394093 2228123209