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214240401 = 3223804489
BaseRepresentation
bin11001100010100…
…00110010010001
3112221010112120200
430301100302101
5414321143101
633131525413
75211004404
oct1461206221
9487115520
10214240401
11aaa29a91
125b8b9869
1335501c8b
142064bd3b
1513c1d986
hexcc50c91

214240401 has 6 divisors (see below), whose sum is σ = 309458370. Its totient is φ = 142826928.

The previous prime is 214240399. The next prime is 214240421. The reversal of 214240401 is 104042412.

214240401 is a `hidden beast` number, since 21 + 4 + 240 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122080401 + 92160000 = 11049^2 + 9600^2 .

It is not a de Polignac number, because 214240401 - 21 = 214240399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214240421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11902236 + ... + 11902253.

It is an arithmetic number, because the mean of its divisors is an integer number (51576395).

Almost surely, 2214240401 is an apocalyptic number.

It is an amenable number.

214240401 is a deficient number, since it is larger than the sum of its proper divisors (95217969).

214240401 is a wasteful number, since it uses less digits than its factorization.

214240401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23804495 (or 23804492 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214240401 is about 14636.9532690379. The cubic root of 214240401 is about 598.3662973970.

Adding to 214240401 its reverse (104042412), we get a palindrome (318282813).

The spelling of 214240401 in words is "two hundred fourteen million, two hundred forty thousand, four hundred one".

Divisors: 1 3 9 23804489 71413467 214240401