224481312 has 144 divisors (see below), whose sum is σ = 708795360. Its totient is φ = 66816000.

The previous prime is 224481241. The next prime is 224481359. The reversal of 224481312 is 213184422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186312 + ... + 187512.

It is an arithmetic number, because the mean of its divisors is an integer number (4922190).

Almost surely, 2^224481312 is an apocalyptic number.

224481312 is a gapful number since it is divisible by the number (22) 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 224481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354397680).

224481312 is an abundant number, since it is smaller than the sum of its proper divisors (484314048).

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

224481312 is a wasteful number, since it uses less digits than its factorization.

224481312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 224481312 is about 14982.7004241559. The cubic root of 224481312 is about 607.7524673345.

The spelling of 224481312 in words is "two hundred twenty-four million, four hundred eighty-one thousand, three hundred twelve".