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2221434329 is a prime number
BaseRepresentation
bin1000010001101000…
…0110010111011001
312201211000120000112
42010122012113121
514022141344304
61004233014105
7106022610632
oct20432062731
95654016015
102221434329
11a3aa3a544
1251bb54335
132952c78aa
1417105a889
15d0052b6e
hex846865d9

2221434329 has 2 divisors, whose sum is σ = 2221434330. Its totient is φ = 2221434328.

The previous prime is 2221434283. The next prime is 2221434331. The reversal of 2221434329 is 9234341222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2137675225 + 83759104 = 46235^2 + 9152^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221434329 - 224 = 2204657113 is a prime.

Together with 2221434331, 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 = 2221434295 and 2221434304.

It is not a weakly prime, because it can be changed into another prime (2221434359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110717164 + 1110717165.

It is an arithmetic number, because the mean of its divisors is an integer number (1110717165).

Almost surely, 22221434329 is an apocalyptic number.

It is an amenable number.

2221434329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221434329 is an equidigital number, since it uses as much as digits as its factorization.

2221434329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 32.

The square root of 2221434329 is about 47132.0944686315. The cubic root of 2221434329 is about 1304.8016372751.

The spelling of 2221434329 in words is "two billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred twenty-nine".