220224400 has 60 divisors (see below), whose sum is σ = 577199664. Its totient is φ = 80080000.

The previous prime is 220224397. The next prime is 220224401. The reversal of 220224400 is 4422022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220224401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20626 + ... + 29425.

Almost surely, 2^220224400 is an apocalyptic number.

220224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220224400 is an abundant number, since it is smaller than the sum of its proper divisors (356975264).

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

220224400 is a wasteful number, since it uses less digits than its factorization.

220224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50080 (or 50069 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220224400 is about 14839.9595686781. The cubic root of 220224400 is about 603.8862554988.

Adding to 220224400 its reverse (4422022), we get a palindrome (224646422).

The spelling of 220224400 in words is "two hundred twenty million, two hundred twenty-four thousand, four hundred".