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2221233149 is a prime number
BaseRepresentation
bin1000010001100101…
…0101001111111101
312201210122100001102
42010121111033331
514022113430044
61004224422445
7106021112252
oct20431251775
95653570042
102221233149
11a3a912383
1251ba77a25
13295257155
14171007429
15d001324e
hex846553fd

2221233149 has 2 divisors, whose sum is σ = 2221233150. Its totient is φ = 2221233148.

The previous prime is 2221233139. The next prime is 2221233229. The reversal of 2221233149 is 9413321222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1511809924 + 709423225 = 38882^2 + 26635^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221233149 - 212 = 2221229053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221233139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110616574 + 1110616575.

It is an arithmetic number, because the mean of its divisors is an integer number (1110616575).

Almost surely, 22221233149 is an apocalyptic number.

It is an amenable number.

2221233149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221233149 is an equidigital number, since it uses as much as digits as its factorization.

2221233149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 2221233149 is about 47129.9602057969. The cubic root of 2221233149 is about 1304.7622471215.

The spelling of 2221233149 in words is "two billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred forty-nine".