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2230133321 = 131729347969
BaseRepresentation
bin1000010011101101…
…0010001001001001
312202102101111210102
42010323102021021
514031403231241
61005143255145
7106156551263
oct20473221111
95672344712
102230133321
11a44941199
12522a4a4b5
13297052220
14172282b33
15d0bc039b
hex84ed2249

2230133321 has 16 divisors (see below), whose sum is σ = 2630653200. Its totient is φ = 1870675968.

The previous prime is 2230133299. The next prime is 2230133329. The reversal of 2230133321 is 1233310322.

It can be written as a sum of positive squares in 8 ways, for example, as 89775625 + 2140357696 = 9475^2 + 46264^2 .

It is a cyclic number.

It is not a de Polignac number, because 2230133321 - 218 = 2229871177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2230133293 and 2230133302.

It is not an unprimeable number, because it can be changed into a prime (2230133329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167576 + ... + 180393.

It is an arithmetic number, because the mean of its divisors is an integer number (164415825).

Almost surely, 22230133321 is an apocalyptic number.

It is an amenable number.

2230133321 is a deficient number, since it is larger than the sum of its proper divisors (400519879).

2230133321 is a wasteful number, since it uses less digits than its factorization.

2230133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348028.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2230133321 is about 47224.2874059525. The cubic root of 2230133321 is about 1306.5025916418.

Adding to 2230133321 its reverse (1233310322), we get a palindrome (3463443643).

The spelling of 2230133321 in words is "two billion, two hundred thirty million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 13 17 29 221 377 493 6409 347969 4523597 5915473 10091101 76901149 131184313 171548717 2230133321