224003432000 has 112 divisors (see below), whose sum is σ = 554979370608. Its totient is φ = 89563443200.

The previous prime is 224003431979. The next prime is 224003432027. The reversal of 224003432000 is 234300422.

It can be written as a sum of positive squares in 8 ways, for example, as 19352148544 + 204651283456 = 139112^2 + 452384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26051702 + ... + 26060298.

Almost surely, 2^224003432000 is an apocalyptic number.

224003432000 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 224003432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277489685304).

224003432000 is an abundant number, since it is smaller than the sum of its proper divisors (330975938608).

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

224003432000 is an equidigital number, since it uses as much as digits as its factorization.

224003432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 224003432000 its reverse (234300422), we get a palindrome (224237732422).

The spelling of 224003432000 in words is "two hundred twenty-four billion, three million, four hundred thirty-two thousand".