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214212 = 22317851
BaseRepresentation
bin110100010011000100
3101212211210
4310103010
523323322
64331420
71551345
oct642304
9355753
10214212
11136a39
12a3b70
137666b
14580cc
154370c
hex344c4

214212 has 12 divisors (see below), whose sum is σ = 499856. Its totient is φ = 71400.

The previous prime is 214211. The next prime is 214213. The reversal of 214212 is 212412.

It is an interprime number because it is at equal distance from previous prime (214211) and next prime (214213).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 17851 = 214212 / (2 + 1 + 4 + 2 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214212.

It is not an unprimeable number, because it can be changed into a prime (214211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8914 + ... + 8937.

2214212 is an apocalyptic number.

It is an amenable number.

214212 is an abundant number, since it is smaller than the sum of its proper divisors (285644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214212 is a wasteful number, since it uses less digits than its factorization.

214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17858 (or 17856 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 214212 is about 462.8304225092. The cubic root of 214212 is about 59.8339855213.

Adding to 214212 its reverse (212412), we get a palindrome (426624).

The spelling of 214212 in words is "two hundred fourteen thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 17851 35702 53553 71404 107106 214212