224578016 has 72 divisors (see below), whose sum is σ = 483941304. Its totient is φ = 102535680.

The previous prime is 224578009. The next prime is 224578031. The reversal of 224578016 is 610875422.

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, 708290 + ... + 708606.

It is an arithmetic number, because the mean of its divisors is an integer number (6721407).

Almost surely, 2^224578016 is an apocalyptic number.

224578016 is a gapful number since it is divisible by the number (26) 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 224578016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241970652).

224578016 is an abundant number, since it is smaller than the sum of its proper divisors (259363288).

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

224578016 is a wasteful number, since it uses less digits than its factorization.

224578016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 224578016 is about 14985.9272652712. The cubic root of 224578016 is about 607.8397257595.

The spelling of 224578016 in words is "two hundred twenty-four million, five hundred seventy-eight thousand, sixteen".