114224 has 30 divisors (see below), whose sum is σ = 247380. Its totient is φ = 51040.

The previous prime is 114221. The next prime is 114229. The reversal of 114224 is 422411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114199 and 114208.

It is not an unprimeable number, because it can be changed into a prime (114221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1907 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2¹¹⁴²²⁴ 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 114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690).

114224 is an abundant number, since it is smaller than the sum of its proper divisors (133156).

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

114224 is a wasteful number, since it uses less digits than its factorization.

114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 114224 is about 337.9704129062. The cubic root of 114224 is about 48.5198133522.

Adding to 114224 its reverse (422411), we get a palindrome (536635).

It can be divided in two parts, 11 and 4224, that multiplied together give a palindrome (46464).

The spelling of 114224 in words is "one hundred fourteen thousand, two hundred twenty-four", and thus it is an iban number.