224182080 has 294 divisors, whose sum is σ = 827035938. Its totient is φ = 57853440.

The previous prime is 224182073. The next prime is 224182097. The reversal of 224182080 is 80281422.

It can be written as a sum of positive squares in only one way, i.e., 179345664 + 44836416 = 13392^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 7231665 + ... + 7231695.

Almost surely, 2^224182080 is an apocalyptic number.

224182080 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 224182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413517969).

224182080 is an abundant number, since it is smaller than the sum of its proper divisors (602853858).

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

224182080 is an frugal number, since it uses more digits than its factorization.

224182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 224182080 is about 14972.7111773386. The cubic root of 224182080 is about 607.4823040113.

The spelling of 224182080 in words is "two hundred twenty-four million, one hundred eighty-two thousand, eighty".