224075808 has 240 divisors, whose sum is σ = 746444160. Its totient is φ = 65318400.

The previous prime is 224075801. The next prime is 224075809. The reversal of 224075808 is 808570422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224075801) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826713 + ... + 826983.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2^224075808 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 224075808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

224075808 is an abundant number, since it is smaller than the sum of its proper divisors (522368352).

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

224075808 is a wasteful number, since it uses less digits than its factorization.

224075808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 224075808 is about 14969.1619003871. The cubic root of 224075808 is about 607.3862978791.

The spelling of 224075808 in words is "two hundred twenty-four million, seventy-five thousand, eight hundred eight".