224022400000 has 528 divisors, whose sum is σ = 653207067072. Its totient is φ = 75202560000.

The previous prime is 224022399977. The next prime is 224022400013. The reversal of 224022400000 is 4220422.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635199932 + ... + 1635200068.

Almost surely, 2^224022400000 is an apocalyptic number.

224022400000 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 224022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326603533536).

224022400000 is an abundant number, since it is smaller than the sum of its proper divisors (429184667072).

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

224022400000 is an frugal number, since it uses more digits than its factorization.

224022400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 224 counting only the distinct ones).

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

Adding to 224022400000 its reverse (4220422), we get a palindrome (224026620422).

It can be divided in two parts, 2240 and 22400000, that multiplied together give a square (50176000000 = 224000²).

The spelling of 224022400000 in words is "two hundred twenty-four billion, twenty-two million, four hundred thousand".