224005452 has 48 divisors (see below), whose sum is σ = 572552064. Its totient is φ = 67600000.

The previous prime is 224005409. The next prime is 224005471. The reversal of 224005452 is 254500422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29752 + ... + 36512.

It is an arithmetic number, because the mean of its divisors is an integer number (11928168).

Almost surely, 2^224005452 is an apocalyptic number.

224005452 is a gapful number since it is divisible by the number (22) 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 224005452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286276032).

224005452 is an abundant number, since it is smaller than the sum of its proper divisors (348546612).

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

224005452 is a wasteful number, since it uses less digits than its factorization.

224005452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 224005452 is about 14966.8116845239. The cubic root of 224005452 is about 607.3227215623.

Adding to 224005452 its reverse (254500422), we get a palindrome (478505874).

The spelling of 224005452 in words is "two hundred twenty-four million, five thousand, four hundred fifty-two".