224224000000 has 1008 divisors, whose sum is σ = 765883165320. Its totient is φ = 64512000000.

The previous prime is 224223999973. The next prime is 224224000057. The reversal of 224224000000 is 422422.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17247999994 + ... + 17248000006.

Almost surely, 2^224224000000 is an apocalyptic number.

224224000000 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 224224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382941582660).

224224000000 is an abundant number, since it is smaller than the sum of its proper divisors (541659165320).

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

224224000000 is an frugal number, since it uses more digits than its factorization.

224224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

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

Adding to 224224000000 its reverse (422422), we get a palindrome (224224422422).

It can be divided in two parts, 224 and 224000000, that multiplied together give a square (50176000000 = 224000²).

The spelling of 224224000000 in words is "two hundred twenty-four billion, two hundred twenty-four million", and thus it is an aban number.