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2242233313 is a prime number
BaseRepresentation
bin1000010110100101…
…1100001111100001
312210021011020212021
42011221130033201
514043002431223
61010254501441
7106364445235
oct20551341741
95707136767
102242233313
11a50756091
12526b04881
132996ca898
14173b125c5
15d1cb065d
hex85a5c3e1

2242233313 has 2 divisors, whose sum is σ = 2242233314. Its totient is φ = 2242233312.

The previous prime is 2242233311. The next prime is 2242233341. The reversal of 2242233313 is 3133322422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1346009344 + 896223969 = 36688^2 + 29937^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242233313 - 21 = 2242233311 is a prime.

It is a super-2 number, since 2×22422333132 = 10055220459853911938, which contains 22 as substring.

Together with 2242233311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2242233311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121116656 + 1121116657.

It is an arithmetic number, because the mean of its divisors is an integer number (1121116657).

Almost surely, 22242233313 is an apocalyptic number.

It is an amenable number.

2242233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242233313 is an equidigital number, since it uses as much as digits as its factorization.

2242233313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 25.

The square root of 2242233313 is about 47352.2260617175. The cubic root of 2242233313 is about 1308.8612198149.

Adding to 2242233313 its reverse (3133322422), we get a palindrome (5375555735).

The spelling of 2242233313 in words is "two billion, two hundred forty-two million, two hundred thirty-three thousand, three hundred thirteen".