224302080 has 176 divisors, whose sum is σ = 760501440. Its totient is φ = 56229888.

The previous prime is 224302051. The next prime is 224302159. The reversal of 224302080 is 80203422.

It is a super-2 number, since 2×224302080² = 100622846184652800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 260691 + ... + 261549.

Almost surely, 2^224302080 is an apocalyptic number.

224302080 is a gapful number since it is divisible by the number (20) 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 224302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380250720).

224302080 is an abundant number, since it is smaller than the sum of its proper divisors (536199360).

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

224302080 is a wasteful number, since it uses less digits than its factorization.

224302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 224302080 is about 14976.7179315096. The cubic root of 224302080 is about 607.5906755538.

The spelling of 224302080 in words is "two hundred twenty-four million, three hundred two thousand, eighty".