224306880 has 224 divisors, whose sum is σ = 842711040. Its totient is φ = 49459200.

The previous prime is 224306861. The next prime is 224306893. The reversal of 224306880 is 88603422.

224306880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194305 + ... + 195455.

Almost surely, 2^224306880 is an apocalyptic number.

224306880 is a gapful number since it is divisible by the number (20) 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 224306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421355520).

224306880 is an abundant number, since it is smaller than the sum of its proper divisors (618404160).

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

224306880 is a wasteful number, since it uses less digits than its factorization.

224306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 224306880 is about 14976.8781793804. The cubic root of 224306880 is about 607.5950096115.

The spelling of 224306880 in words is "two hundred twenty-four million, three hundred six thousand, eight hundred eighty".