224020200 has 96 divisors (see below), whose sum is σ = 713302560. Its totient is φ = 58118400.

The previous prime is 224020183. The next prime is 224020201. The reversal of 224020200 is 2020422.

It is a happy number.

224020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×224020200³ (a number of 26 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (224020201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17155 + ... + 27245.

It is an arithmetic number, because the mean of its divisors is an integer number (7430235).

Almost surely, 2^224020200 is an apocalyptic number.

224020200 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 224020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356651280).

224020200 is an abundant number, since it is smaller than the sum of its proper divisors (489282360).

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

224020200 is a wasteful number, since it uses less digits than its factorization.

224020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10138 counting only the distinct ones).

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

The square root of 224020200 is about 14967.3043665184. The cubic root of 224020200 is about 607.3360495101.

Adding to 224020200 its reverse (2020422), we get a palindrome (226040622).

The spelling of 224020200 in words is "two hundred twenty-four million, twenty thousand, two hundred".