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2242220353 is a prime number
BaseRepresentation
bin1000010110100101…
…1001000101000001
312210021010121002021
42011221121011001
514043002022403
61010254321441
7106364362402
oct20551310501
95707117067
102242220353
11a5074737a
12526ab9281
132996c4a09
14173b0b9a9
15d1cab8bd
hex85a59141

2242220353 has 2 divisors, whose sum is σ = 2242220354. Its totient is φ = 2242220352.

The previous prime is 2242220333. The next prime is 2242220369. The reversal of 2242220353 is 3530222422.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2159646784 + 82573569 = 46472^2 + 9087^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242220353 - 29 = 2242219841 is a prime.

It is a super-2 number, since 2×22422203532 = 10055104222814889218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2242220333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121110176 + 1121110177.

It is an arithmetic number, because the mean of its divisors is an integer number (1121110177).

Almost surely, 22242220353 is an apocalyptic number.

It is an amenable number.

2242220353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242220353 is an equidigital number, since it uses as much as digits as its factorization.

2242220353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2242220353 is about 47352.0892147326. The cubic root of 2242220353 is about 1308.8586980919.

Adding to 2242220353 its reverse (3530222422), we get a palindrome (5772442775).

The spelling of 2242220353 in words is "two billion, two hundred forty-two million, two hundred twenty thousand, three hundred fifty-three".