224422080 has 112 divisors (see below), whose sum is σ = 717560160. Its totient is φ = 59424768.

The previous prime is 224422067. The next prime is 224422139. The reversal of 224422080 is 80224422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224422080.

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, 149976 + ... + 151464.

Almost surely, 2^224422080 is an apocalyptic number.

224422080 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 224422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358780080).

224422080 is an abundant number, since it is smaller than the sum of its proper divisors (493138080).

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

224422080 is a wasteful number, since it uses less digits than its factorization.

224422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 224422080 is about 14980.7236140315. The cubic root of 224422080 is about 607.6990084512.

The spelling of 224422080 in words is "two hundred twenty-four million, four hundred twenty-two thousand, eighty".