224485968 has 80 divisors (see below), whose sum is σ = 664401920. Its totient is φ = 63980928.

The previous prime is 224485949. The next prime is 224485997. The reversal of 224485968 is 869584422.

It is a happy number.

224485968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243813 + ... + 244731.

It is an arithmetic number, because the mean of its divisors is an integer number (8305024).

Almost surely, 2^224485968 is an apocalyptic number.

224485968 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 224485968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332200960).

224485968 is an abundant number, since it is smaller than the sum of its proper divisors (439915952).

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

224485968 is a wasteful number, since it uses less digits than its factorization.

224485968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 224485968 is about 14982.8558025498. The cubic root of 224485968 is about 607.7566691333.

The spelling of 224485968 in words is "two hundred twenty-four million, four hundred eighty-five thousand, nine hundred sixty-eight".