224220480 has 224 divisors, whose sum is σ = 822960000. Its totient is φ = 51118080.

The previous prime is 224220461. The next prime is 224220487. The reversal of 224220480 is 84022422.

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 224220480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224220487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 178896 + ... + 180144.

Almost surely, 2^224220480 is an apocalyptic number.

224220480 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 224220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480000).

224220480 is an abundant number, since it is smaller than the sum of its proper divisors (598739520).

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

224220480 is a wasteful number, since it uses less digits than its factorization.

224220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

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

The square root of 224220480 is about 14973.9934553211. The cubic root of 224220480 is about 607.5169871116.

It can be divided in two parts, 2242 and 20480, that added together give a palindrome (22722).

The spelling of 224220480 in words is "two hundred twenty-four million, two hundred twenty thousand, four hundred eighty".