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2242001441 is a prime number
BaseRepresentation
bin1000010110100010…
…0011101000100001
312210020201110210102
42011220203220201
514042423021231
61010245512145
7106362461231
oct20550435041
95706643712
102242001441
11a50607959
12526a12655
13299649194
14173a91cc1
15d1c66acb
hex85a23a21

2242001441 has 2 divisors, whose sum is σ = 2242001442. Its totient is φ = 2242001440.

The previous prime is 2242001431. The next prime is 2242001491. The reversal of 2242001441 is 1441002422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2239182400 + 2819041 = 47320^2 + 1679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242001441 is a prime.

It is a super-2 number, since 2×22420014412 = 10053140922892152962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2242001431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121000720 + 1121000721.

It is an arithmetic number, because the mean of its divisors is an integer number (1121000721).

Almost surely, 22242001441 is an apocalyptic number.

It is an amenable number.

2242001441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242001441 is an equidigital number, since it uses as much as digits as its factorization.

2242001441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2242001441 is about 47349.7776235538. Note that the first 3 decimals coincide. The cubic root of 2242001441 is about 1308.8161012971.

Adding to 2242001441 its reverse (1441002422), we get a palindrome (3683003863).

The spelling of 2242001441 in words is "two billion, two hundred forty-two million, one thousand, four hundred forty-one".