224000220 has 192 divisors, whose sum is σ = 694987776. Its totient is φ = 53729280.

The previous prime is 224000209. The next prime is 224000233. The reversal of 224000220 is 22000422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 224000196 and 224000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2093407 + ... + 2093513.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2^224000220 is an apocalyptic number.

224000220 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 224000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

224000220 is an abundant number, since it is smaller than the sum of its proper divisors (470987556).

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

224000220 is a wasteful number, since it uses less digits than its factorization.

224000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224000220 is about 14966.6368967781. The cubic root of 224000220 is about 607.3179931993.

Adding to 224000220 its reverse (22000422), we get a palindrome (246000642).

The spelling of 224000220 in words is "two hundred twenty-four million, two hundred twenty", and thus it is an aban number.