224443968 has 112 divisors (see below), whose sum is σ = 700698624. Its totient is φ = 62046720.

The previous prime is 224443957. The next prime is 224443969. The reversal of 224443968 is 869344422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (224443969) 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, 38971 + ... + 44357.

Almost surely, 2^224443968 is an apocalyptic number.

224443968 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 224443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350349312).

224443968 is an abundant number, since it is smaller than the sum of its proper divisors (476254656).

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

224443968 is a wasteful number, since it uses less digits than its factorization.

224443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5430 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 224443968 is about 14981.4541350298. The cubic root of 224443968 is about 607.7187642071.

The spelling of 224443968 in words is "two hundred twenty-four million, four hundred forty-three thousand, nine hundred sixty-eight".