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2242222249 is a prime number
BaseRepresentation
bin1000010110100101…
…1001100010101001
312210021010200200111
42011221121202221
514043002102444
61010254334321
7106364401051
oct20551314251
95707120614
102242222249
11a50748843
12526aba3a1
132996c5837
14173b0c561
15d1cac234
hex85a598a9

2242222249 has 2 divisors, whose sum is σ = 2242222250. Its totient is φ = 2242222248.

The previous prime is 2242222231. The next prime is 2242222267. The reversal of 2242222249 is 9422222422.

It is a balanced prime because it is at equal distance from previous prime (2242222231) and next prime (2242222267).

It can be written as a sum of positive squares in only one way, i.e., 1336633600 + 905588649 = 36560^2 + 30093^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242222249 - 27 = 2242222121 is a prime.

It is a super-2 number, since 2×22422222492 = 10055121227821236002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242222249.

It is not a weakly prime, because it can be changed into another prime (2242222849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121111124 + 1121111125.

It is an arithmetic number, because the mean of its divisors is an integer number (1121111125).

Almost surely, 22242222249 is an apocalyptic number.

It is an amenable number.

2242222249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242222249 is an equidigital number, since it uses as much as digits as its factorization.

2242222249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18432, while the sum is 31.

The square root of 2242222249 is about 47352.1092349644. The cubic root of 2242222249 is about 1308.8590670112.

The spelling of 2242222249 in words is "two billion, two hundred forty-two million, two hundred twenty-two thousand, two hundred forty-nine".