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2231153329 is a prime number
BaseRepresentation
bin1000010011111100…
…1011001010110001
312202111022022222111
42010333023022301
514032133401304
61005221205321
7106201330126
oct20477131261
95674268874
102231153329
11a45478579
12523260841
1329731b592
1417246a74d
15d0d22704
hex84fcb2b1

2231153329 has 2 divisors, whose sum is σ = 2231153330. Its totient is φ = 2231153328.

The previous prime is 2231153311. The next prime is 2231153333. The reversal of 2231153329 is 9233511322.

2231153329 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., 1465358400 + 765794929 = 38280^2 + 27673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231153329 - 27 = 2231153201 is a prime.

It is a super-3 number, since 3×22311533293 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231153329.

It is not a weakly prime, because it can be changed into another prime (2231153339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115576664 + 1115576665.

It is an arithmetic number, because the mean of its divisors is an integer number (1115576665).

Almost surely, 22231153329 is an apocalyptic number.

It is an amenable number.

2231153329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231153329 is an equidigital number, since it uses as much as digits as its factorization.

2231153329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 31.

The square root of 2231153329 is about 47235.0857837688. The cubic root of 2231153329 is about 1306.7017486402.

The spelling of 2231153329 in words is "two billion, two hundred thirty-one million, one hundred fifty-three thousand, three hundred twenty-nine".