224064224 has 48 divisors (see below), whose sum is σ = 454345920. Its totient is φ = 108725760.

The previous prime is 224064149. The next prime is 224064259. The reversal of 224064224 is 422460422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224064193 and 224064202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153482 + ... + 154934.

It is an arithmetic number, because the mean of its divisors is an integer number (9465540).

Almost surely, 2^224064224 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 224064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227172960).

224064224 is an abundant number, since it is smaller than the sum of its proper divisors (230281696).

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

224064224 is a wasteful number, since it uses less digits than its factorization.

224064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 224064224 is about 14968.7749665763. The cubic root of 224064224 is about 607.3758310580.

The spelling of 224064224 in words is "two hundred twenty-four million, sixty-four thousand, two hundred twenty-four".