224202 has 32 divisors (see below), whose sum is σ = 506880. Its totient is φ = 65520.

The previous prime is 224201. The next prime is 224209. The reversal of 224202 is 202422.

It is a happy number.

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (224201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799 + ... + 2877.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2²²⁴²⁰² is an apocalyptic number.

224202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 473×474.

It is a practical number, because each smaller number is the sum of distinct divisors of 224202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253440).

224202 is an abundant number, since it is smaller than the sum of its proper divisors (282678).

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

224202 is a wasteful number, since it uses less digits than its factorization.

224202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224202 is about 473.4997360084. The cubic root of 224202 is about 60.7500296364.

Adding to 224202 its reverse (202422), we get a palindrome (426624).

It can be divided in two parts, 22420 and 2, that added together give a palindrome (22422).

The spelling of 224202 in words is "two hundred twenty-four thousand, two hundred two", and thus it is an iban number.