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214032221 = 13136112097
BaseRepresentation
bin11001100000111…
…01111101011101
3112220201222000022
430300131331131
5414243012341
633123241525
75206146434
oct1460357535
9486658008
10214032221
11aa8a7637
125b8192a5
133545b2b0
14205d611b
1513bcbe4b
hexcc1df5d

214032221 has 8 divisors (see below), whose sum is σ = 230684664. Its totient is φ = 197406720.

The previous prime is 214032197. The next prime is 214032233. The reversal of 214032221 is 122230412.

It can be written as a sum of positive squares in 4 ways, for example, as 17724100 + 196308121 = 4210^2 + 14011^2 .

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 214032221 - 26 = 214032157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214032221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214032521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11645 + ... + 23741.

It is an arithmetic number, because the mean of its divisors is an integer number (28835583).

Almost surely, 2214032221 is an apocalyptic number.

It is an amenable number.

214032221 is a deficient number, since it is larger than the sum of its proper divisors (16652443).

214032221 is a wasteful number, since it uses less digits than its factorization.

214032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214032221 is about 14629.8400879846. The cubic root of 214032221 is about 598.1724213197.

Adding to 214032221 its reverse (122230412), we get a palindrome (336262633).

The spelling of 214032221 in words is "two hundred fourteen million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 13 1361 12097 17693 157261 16464017 214032221