224015220 has 240 divisors, whose sum is σ = 826455168. Its totient is φ = 50077440.

The previous prime is 224015203. The next prime is 224015249. The reversal of 224015220 is 22510422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224015193 and 224015202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231177 + ... + 232143.

Almost surely, 2^224015220 is an apocalyptic number.

224015220 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 224015220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413227584).

224015220 is an abundant number, since it is smaller than the sum of its proper divisors (602439948).

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

224015220 is a wasteful number, since it uses less digits than its factorization.

224015220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 224015220 is about 14967.1380029717. The cubic root of 224015220 is about 607.3315490887.

Adding to 224015220 its reverse (22510422), we get a palindrome (246525642).

The spelling of 224015220 in words is "two hundred twenty-four million, fifteen thousand, two hundred twenty".