224180080 has 80 divisors (see below), whose sum is σ = 551661120. Its totient is φ = 84547584.

The previous prime is 224180051. The next prime is 224180093. The reversal of 224180080 is 80081422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133486 + ... + 135154.

It is an arithmetic number, because the mean of its divisors is an integer number (6895764).

Almost surely, 2^224180080 is an apocalyptic number.

224180080 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 224180080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275830560).

224180080 is an abundant number, since it is smaller than the sum of its proper divisors (327481040).

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

224180080 is a wasteful number, since it uses less digits than its factorization.

224180080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 224180080 is about 14972.6443890183. The cubic root of 224180080 is about 607.4804974913.

The spelling of 224180080 in words is "two hundred twenty-four million, one hundred eighty thousand, eighty".