224546064 has 60 divisors (see below), whose sum is σ = 616244784. Its totient is φ = 70441472.

The previous prime is 224546057. The next prime is 224546071. The reversal of 224546064 is 460645422.

It is an interprime number because it is at equal distance from previous prime (224546057) and next prime (224546071).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5779 + ... + 21965.

Almost surely, 2^224546064 is an apocalyptic number.

224546064 is a gapful number since it is divisible by the number (24) 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 224546064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308122392).

224546064 is an abundant number, since it is smaller than the sum of its proper divisors (391698720).

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

224546064 is a wasteful number, since it uses less digits than its factorization.

224546064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16232 (or 16209 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 224546064 is about 14984.8611605180. The cubic root of 224546064 is about 607.8108974464.

The spelling of 224546064 in words is "two hundred twenty-four million, five hundred forty-six thousand, sixty-four".