Search a number
-
+
212576401 is a prime number
BaseRepresentation
bin11001010101110…
…10100010010001
3112211000000000001
430222322202101
5413404421101
633032130001
75160604162
oct1452724221
9484000001
10212576401
11a9aa2884
125b236901
133506b76b
1420337769
15139e0901
hexcaba891

212576401 has 2 divisors, whose sum is σ = 212576402. Its totient is φ = 212576400.

The previous prime is 212576383. The next prime is 212576423. The reversal of 212576401 is 104675212.

It is a Cunningham number, because it is equal to 145802+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212576400 + 1 = 14580^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 212576401 - 25 = 212576369 is a prime.

It is a super-2 number, since 2×2125764012 = 90377452524225602, 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 212576401.

It is not a weakly prime, because it can be changed into another prime (212576491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106288200 + 106288201.

It is an arithmetic number, because the mean of its divisors is an integer number (106288201).

Almost surely, 2212576401 is an apocalyptic number.

It is an amenable number.

212576401 is a deficient number, since it is larger than the sum of its proper divisors (1).

212576401 is an equidigital number, since it uses as much as digits as its factorization.

212576401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 212576401 is about 14580.0000342936. Note that the first 4 decimals coincide. The cubic root of 212576401 is about 596.8131037156.

The spelling of 212576401 in words is "two hundred twelve million, five hundred seventy-six thousand, four hundred one".