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214222401 = 3422911549
BaseRepresentation
bin11001100010011…
…00011001000001
3112221002121220000
430301030121001
5414320104101
633131310213
75210601051
oct1461143101
9487077800
10214222401
11aaa17508
125b8ab369
13354c6a23
1420645561
1513c18486
hexcc4c641

214222401 has 20 divisors (see below), whose sum is σ = 321436500. Its totient is φ = 142178976.

The previous prime is 214222363. The next prime is 214222403. The reversal of 214222401 is 104222412.

214222401 is a `hidden beast` number, since 2 + 1 + 422 + 240 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203490225 + 10732176 = 14265^2 + 3276^2 .

It is not a de Polignac number, because 214222401 - 211 = 214220353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214222403) 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 19 ways as a sum of consecutive naturals, for example, 12775 + ... + 24323.

It is an arithmetic number, because the mean of its divisors is an integer number (16071825).

Almost surely, 2214222401 is an apocalyptic number.

It is an amenable number.

214222401 is a deficient number, since it is larger than the sum of its proper divisors (107214099).

214222401 is a wasteful number, since it uses less digits than its factorization.

214222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790 (or 11781 counting only the distinct ones).

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

The square root of 214222401 is about 14636.3383740606. The cubic root of 214222401 is about 598.3495391277.

Adding to 214222401 its reverse (104222412), we get a palindrome (318444813).

The spelling of 214222401 in words is "two hundred fourteen million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 27 81 229 687 2061 6183 11549 18549 34647 103941 311823 935469 2644721 7934163 23802489 71407467 214222401