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214123221 = 32131830113
BaseRepresentation
bin11001100001101…
…00001011010101
3112220220120211200
430300310023111
5414303420341
633125223113
75210005644
oct1460641325
9486816750
10214123221
11aa959a44
125b861a99
1335490840
142061b35b
1513be8db6
hexcc342d5

214123221 has 12 divisors (see below), whose sum is σ = 333080748. Its totient is φ = 131768064.

The previous prime is 214123199. The next prime is 214123229. The reversal of 214123221 is 122321412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141276996 + 72846225 = 11886^2 + 8535^2 .

It is not a de Polignac number, because 214123221 - 210 = 214122197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214123194 and 214123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214123229) 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 11 ways as a sum of consecutive naturals, for example, 914940 + ... + 915173.

It is an arithmetic number, because the mean of its divisors is an integer number (27756729).

Almost surely, 2214123221 is an apocalyptic number.

It is an amenable number.

214123221 is a deficient number, since it is larger than the sum of its proper divisors (118957527).

214123221 is a wasteful number, since it uses less digits than its factorization.

214123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830132 (or 1830129 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 214123221 is about 14632.9498393181. The cubic root of 214123221 is about 598.2571842235.

Adding to 214123221 its reverse (122321412), we get a palindrome (336444633).

The spelling of 214123221 in words is "two hundred fourteen million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 1830113 5490339 16471017 23791469 71374407 214123221