224638608 has 80 divisors (see below), whose sum is σ = 608532480. Its totient is φ = 71271552.

The previous prime is 224638607. The next prime is 224638619. The reversal of 224638608 is 806836422.

224638608 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224638607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312073 + ... + 312791.

It is an arithmetic number, because the mean of its divisors is an integer number (7606656).

Almost surely, 2^224638608 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 224638608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304266240).

224638608 is an abundant number, since it is smaller than the sum of its proper divisors (383893872).

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

224638608 is a wasteful number, since it uses less digits than its factorization.

224638608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 224638608 is about 14987.9487589196. The cubic root of 224638608 is about 607.8943866646.

The spelling of 224638608 in words is "two hundred twenty-four million, six hundred thirty-eight thousand, six hundred eight".