224967616 has 56 divisors (see below), whose sum is σ = 470733120. Its totient is φ = 106509312.

The previous prime is 224967583. The next prime is 224967641. The reversal of 224967616 is 616769422.

It is a happy number.

224967616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224967616² = 101220856497446912, which contains 22 as substring.

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, 97225 + ... + 99511.

Almost surely, 2^224967616 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 224967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235366560).

224967616 is an abundant number, since it is smaller than the sum of its proper divisors (245765504).

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

224967616 is a wasteful number, since it uses less digits than its factorization.

224967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2371 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 224967616 is about 14998.9204944889. The cubic root of 224967616 is about 608.1910180048.

The spelling of 224967616 in words is "two hundred twenty-four million, nine hundred sixty-seven thousand, six hundred sixteen".