202224 has 40 divisors (see below), whose sum is σ = 571392. Its totient is φ = 61120.

The previous prime is 202219. The next prime is 202231. The reversal of 202224 is 422202.

It is a happy number.

202224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

202224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337 + ... + 719.

2²⁰²²²⁴ is an apocalyptic number.

202224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

202224 is an abundant number, since it is smaller than the sum of its proper divisors (369168).

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

202224 is a wasteful number, since it uses less digits than its factorization.

202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

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

The square root of 202224 is about 449.6932287682. The cubic root of 202224 is about 58.6963233895.

Adding to 202224 its reverse (422202), we get a palindrome (624426).

The spelling of 202224 in words is "two hundred two thousand, two hundred twenty-four", and thus it is an iban number.