224288008 has 64 divisors (see below), whose sum is σ = 508406400. Its totient is φ = 90616320.

The previous prime is 224288003. The next prime is 224288011. The reversal of 224288008 is 800882422.

224288008 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 2×224288008² = 100610221065216128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224288003) 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, 294348 + ... + 295108.

It is an arithmetic number, because the mean of its divisors is an integer number (7943850).

Almost surely, 2^224288008 is an apocalyptic number.

224288008 is a gapful number since it is divisible by the number (28) 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 224288008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254203200).

224288008 is an abundant number, since it is smaller than the sum of its proper divisors (284118392).

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

224288008 is a wasteful number, since it uses less digits than its factorization.

224288008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 224288008 is about 14976.2481282863. The cubic root of 224288008 is about 607.5779691851.

The spelling of 224288008 in words is "two hundred twenty-four million, two hundred eighty-eight thousand, eight".