224022400 has 192 divisors, whose sum is σ = 645806880. Its totient is φ = 75202560.

The previous prime is 224022391. The next prime is 224022427. The reversal of 224022400 is 4220422.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635132 + ... + 1635268.

Almost surely, 2^224022400 is an apocalyptic number.

224022400 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 224022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322903440).

224022400 is an abundant number, since it is smaller than the sum of its proper divisors (421784480).

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

224022400 is a wasteful number, since it uses less digits than its factorization.

224022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

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

The square root of 224022400 is about 14967.3778598658. The cubic root of 224022400 is about 607.3380376269.

Adding to 224022400 its reverse (4220422), we get a palindrome (228242822).

It can be divided in two parts, 224022 and 400, that added together give a palindrome (224422).

The spelling of 224022400 in words is "two hundred twenty-four million, twenty-two thousand, four hundred".