224313680 has 40 divisors (see below), whose sum is σ = 523653984. Its totient is φ = 89360000.

The previous prime is 224313659. The next prime is 224313707. The reversal of 224313680 is 86313422.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 14495 + ... + 25665.

Almost surely, 2^224313680 is an apocalyptic number.

224313680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224313680 is an abundant number, since it is smaller than the sum of its proper divisors (299340304).

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

224313680 is a wasteful number, since it uses less digits than its factorization.

224313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 224313680 is about 14977.1051942623. The cubic root of 224313680 is about 607.6011494206.

The spelling of 224313680 in words is "two hundred twenty-four million, three hundred thirteen thousand, six hundred eighty".