224156064 has 96 divisors (see below), whose sum is σ = 659365056. Its totient is φ = 66078720.

The previous prime is 224156021. The next prime is 224156087. The reversal of 224156064 is 460651422.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 36204 + ... + 41940.

It is an arithmetic number, because the mean of its divisors is an integer number (6868386).

Almost surely, 2^224156064 is an apocalyptic number.

224156064 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 224156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329682528).

224156064 is an abundant number, since it is smaller than the sum of its proper divisors (435208992).

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

224156064 is a wasteful number, since it uses less digits than its factorization.

224156064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 224156064 is about 14971.8423715988. The cubic root of 224156064 is about 607.4588039602.

The spelling of 224156064 in words is "two hundred twenty-four million, one hundred fifty-six thousand, sixty-four".