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214122401 is a prime number
BaseRepresentation
bin11001100001100…
…11111110100001
3112220220112201022
430300303332201
5414303404101
633125215225
75210003363
oct1460637641
9486815638
10214122401
11aa959369
125b861515
133549035c
142061ad33
1513be8a1b
hexcc33fa1

214122401 has 2 divisors, whose sum is σ = 214122402. Its totient is φ = 214122400.

The previous prime is 214122331. The next prime is 214122421. The reversal of 214122401 is 104221412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213598225 + 524176 = 14615^2 + 724^2 .

It is a cyclic number.

It is not a de Polignac number, because 214122401 - 210 = 214121377 is a prime.

It is a super-2 number, since 2×2141224012 = 91696805220009602, 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 214122401.

It is not a weakly prime, because it can be changed into another prime (214122421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107061200 + 107061201.

It is an arithmetic number, because the mean of its divisors is an integer number (107061201).

Almost surely, 2214122401 is an apocalyptic number.

It is an amenable number.

214122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

214122401 is an equidigital number, since it uses as much as digits as its factorization.

214122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 214122401 is about 14632.9218203338. The cubic root of 214122401 is about 598.2564205331.

Adding to 214122401 its reverse (104221412), we get a palindrome (318343813).

It can be divided in two parts, 2141 and 22401, that added together give a palindrome (24542).

The spelling of 214122401 in words is "two hundred fourteen million, one hundred twenty-two thousand, four hundred one".