224080992 has 72 divisors (see below), whose sum is σ = 660854376. Its totient is φ = 74691072.

The previous prime is 224080981. The next prime is 224081021. The reversal of 224080992 is 299080422.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6633 + ... + 22184.

It is an arithmetic number, because the mean of its divisors is an integer number (9178533).

Almost surely, 2^224080992 is an apocalyptic number.

It is an amenable number.

224080992 is an abundant number, since it is smaller than the sum of its proper divisors (436773384).

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

224080992 is an equidigital number, since it uses as much as digits as its factorization.

224080992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28842 (or 28822 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 224080992 is about 14969.3350553724. The cubic root of 224080992 is about 607.3909818092.

The spelling of 224080992 in words is "two hundred twenty-four million, eighty thousand, nine hundred ninety-two".