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2226240240001 is a prime number
BaseRepresentation
bin100000011001010110010…
…000100011100110000001
321212211022111202211201021
4200121112100203212001
5242433320000140001
64422415354305441
7316561210546351
oct40312620434601
97784274684637
102226240240001
11789163639748
122bb563428281
13131c1a03007b
1479a71920b61
153cd99e5cba1
hex20656423981

2226240240001 has 2 divisors, whose sum is σ = 2226240240002. Its totient is φ = 2226240240000.

The previous prime is 2226240239947. The next prime is 2226240240073. The reversal of 2226240240001 is 1000420426222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1986194136976 + 240046103025 = 1409324^2 + 489945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226240240001 - 217 = 2226240108929 is a prime.

It is a super-2 number, since 2×22262402400012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2226240246001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113120120000 + 1113120120001.

It is an arithmetic number, because the mean of its divisors is an integer number (1113120120001).

Almost surely, 22226240240001 is an apocalyptic number.

It is an amenable number.

2226240240001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226240240001 is an equidigital number, since it uses as much as digits as its factorization.

2226240240001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2226240240001 its reverse (1000420426222), we get a palindrome (3226660666223).

The spelling of 2226240240001 in words is "two trillion, two hundred twenty-six billion, two hundred forty million, two hundred forty thousand, one".