Search a number
-
+
214056 = 2333991
BaseRepresentation
bin110100010000101000
3101212122000
4310100220
523322211
64331000
71551033
oct642050
9355560
10214056
11136907
12a3a60
137657b
145801a
1543656
hex34428

214056 has 32 divisors (see below), whose sum is σ = 595200. Its totient is φ = 71280.

The previous prime is 214051. The next prime is 214063. The reversal of 214056 is 650412.

It is a happy number.

214056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2140562 = 91639942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214056.

It is not an unprimeable number, because it can be changed into a prime (214051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2214056 is an apocalyptic number.

It is an amenable number.

214056 is an abundant number, since it is smaller than the sum of its proper divisors (381144).

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

214056 is a wasteful number, since it uses less digits than its factorization.

214056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214056 is about 462.6618635678. The cubic root of 214056 is about 59.8194572837.

Adding to 214056 its reverse (650412), we get a palindrome (864468).

The spelling of 214056 in words is "two hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 991 1982 2973 3964 5946 7928 8919 11892 17838 23784 26757 35676 53514 71352 107028 214056