224202144 has 48 divisors (see below), whose sum is σ = 592861248. Its totient is φ = 74184192.

The previous prime is 224202133. The next prime is 224202149. The reversal of 224202144 is 441202422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 224202144.

It is not an unprimeable number, because it can be changed into a prime (224202149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4629 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (12351276).

Almost surely, 2^224202144 is an apocalyptic number.

224202144 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 224202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296430624).

224202144 is an abundant number, since it is smaller than the sum of its proper divisors (368659104).

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

224202144 is a wasteful number, since it uses less digits than its factorization.

224202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197 (or 17189 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 224202144 is about 14973.3811812830. The cubic root of 224202144 is about 607.5004264252.

Adding to 224202144 its reverse (441202422), we get a palindrome (665404566).

The spelling of 224202144 in words is "two hundred twenty-four million, two hundred two thousand, one hundred forty-four".