224033568 has 96 divisors (see below), whose sum is σ = 644438592. Its totient is φ = 67584000.

The previous prime is 224033543. The next prime is 224033573. The reversal of 224033568 is 865330422.

It is a happy number.

224033568 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 a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372468 + ... + 373068.

It is an arithmetic number, because the mean of its divisors is an integer number (6712902).

Almost surely, 2^224033568 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 224033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322219296).

224033568 is an abundant number, since it is smaller than the sum of its proper divisors (420405024).

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

224033568 is a wasteful number, since it uses less digits than its factorization.

224033568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 224033568 is about 14967.7509332565. The cubic root of 224033568 is about 607.3481298297.

The spelling of 224033568 in words is "two hundred twenty-four million, thirty-three thousand, five hundred sixty-eight".