220204224 has 168 divisors, whose sum is σ = 685159920. Its totient is φ = 69341184.

The previous prime is 220204223. The next prime is 220204267. The reversal of 220204224 is 422402022.

220204224 is a `hidden beast` number, since 220 + 20 + 422 + 4 = 666.

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 = 220204197 and 220204206.

It is not an unprimeable number, because it can be changed into a prime (220204223) 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, 623632 + ... + 623984.

Almost surely, 2^220204224 is an apocalyptic number.

220204224 is a gapful number since it is divisible by the number (24) 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 220204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342579960).

220204224 is an abundant number, since it is smaller than the sum of its proper divisors (464955696).

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

220204224 is a wasteful number, since it uses less digits than its factorization.

220204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220204224 is about 14839.2797668890. The cubic root of 220204224 is about 603.8678131264.

Adding to 220204224 its reverse (422402022), we get a palindrome (642606246).

It can be divided in two parts, 22020 and 4224, that added together give a square (26244 = 162²).

The spelling of 220204224 in words is "two hundred twenty million, two hundred four thousand, two hundred twenty-four".