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214144 = 277239
BaseRepresentation
bin110100010010000000
3101212202021
4310102000
523323034
64331224
71551220
oct642200
9355667
10214144
11136987
12a3b14
1376618
1458080
15436b4
hex34480

214144 has 32 divisors (see below), whose sum is σ = 489600. Its totient is φ = 91392.

The previous prime is 214141. The next prime is 214147. The reversal of 214144 is 441412.

It is an interprime number because it is at equal distance from previous prime (214141) and next prime (214147).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 9.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (214141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

214144 is an abundant number, since it is smaller than the sum of its proper divisors (275456).

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

214144 is an equidigital number, since it uses as much as digits as its factorization.

214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 214144 is about 462.7569556473. The cubic root of 214144 is about 59.8276535673.

Adding to 214144 its reverse (441412), we get a palindrome (655556).

The spelling of 214144 in words is "two hundred fourteen thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 239 448 478 896 956 1673 1912 3346 3824 6692 7648 13384 15296 26768 30592 53536 107072 214144