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226122512401 is a prime number
BaseRepresentation
bin1101001010010111110…
…0111011100000010001
3210121122212101210211201
43102211330323200101
512201044330344101
6251513530111201
722223345433202
oct3224574734021
9717585353751
10226122512401
1187997299425
12379a7b7b501
13184282891c6
14ad315875a9
155d36977e01
hex34a5f3b811

226122512401 has 2 divisors, whose sum is σ = 226122512402. Its totient is φ = 226122512400.

The previous prime is 226122512387. The next prime is 226122512423. The reversal of 226122512401 is 104215221622.

It is a happy number.

226122512401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210452480001 + 15670032400 = 458751^2 + 125180^2 .

It is a cyclic number.

It is not a de Polignac number, because 226122512401 - 233 = 217532577809 is a prime.

It is a super-2 number, since 2×2261225124012 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226122512401.

It is not a weakly prime, because it can be changed into another prime (226122512431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113061256200 + 113061256201.

It is an arithmetic number, because the mean of its divisors is an integer number (113061256201).

Almost surely, 2226122512401 is an apocalyptic number.

It is an amenable number.

226122512401 is a deficient number, since it is larger than the sum of its proper divisors (1).

226122512401 is an equidigital number, since it uses as much as digits as its factorization.

226122512401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 226122512401 in words is "two hundred twenty-six billion, one hundred twenty-two million, five hundred twelve thousand, four hundred one".