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214305401 = 4113738153
BaseRepresentation
bin11001100011000…
…00101001111001
3112221020211202002
430301200221321
5414330233101
633133150345
75211365042
oct1461405171
9487224662
10214305401
11aaa73902
125b92b3b5
133552573b
14206678c9
1513c32d6b
hexcc60a79

214305401 has 8 divisors (see below), whose sum is σ = 221140584. Its totient is φ = 207546880.

The previous prime is 214305397. The next prime is 214305407. The reversal of 214305401 is 104503412.

It can be written as a sum of positive squares in 4 ways, for example, as 15523600 + 198781801 = 3940^2 + 14099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214305401 - 22 = 214305397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214305407) 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 in 7 ways as a sum of consecutive naturals, for example, 13460 + ... + 24693.

It is an arithmetic number, because the mean of its divisors is an integer number (27642573).

Almost surely, 2214305401 is an apocalyptic number.

It is an amenable number.

214305401 is a deficient number, since it is larger than the sum of its proper divisors (6835183).

214305401 is a wasteful number, since it uses less digits than its factorization.

214305401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38331.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 214305401 is about 14639.1735080912. The cubic root of 214305401 is about 598.4268055557.

Adding to 214305401 its reverse (104503412), we get a palindrome (318808813).

The spelling of 214305401 in words is "two hundred fourteen million, three hundred five thousand, four hundred one".

Divisors: 1 41 137 5617 38153 1564273 5226961 214305401