224000496 has 120 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 69852288.

The previous prime is 224000489. The next prime is 224000531. The reversal of 224000496 is 694000422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154945 + ... + 156383.

It is an arithmetic number, because the mean of its divisors is an integer number (5571072).

Almost surely, 2^224000496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224000496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

224000496 is an abundant number, since it is smaller than the sum of its proper divisors (444528144).

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

224000496 is a wasteful number, since it uses less digits than its factorization.

224000496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224000496 is about 14966.6461172836. The cubic root of 224000496 is about 607.3182426332.

The spelling of 224000496 in words is "two hundred twenty-four million, four hundred ninety-six", and thus it is an aban number.