224884147200 has 264 divisors, whose sum is σ = 761392621920. Its totient is φ = 58505625600.

The previous prime is 224884147153. The next prime is 224884147207. The reversal of 224884147200 is 2741488422.

It is not an unprimeable number, because it can be changed into a prime (224884147207) by changing a digit.

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, 3113091 + ... + 3184509.

Almost surely, 2^224884147200 is an apocalyptic number.

224884147200 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 224884147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380696310960).

224884147200 is an abundant number, since it is smaller than the sum of its proper divisors (536508474720).

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

224884147200 is a wasteful number, since it uses less digits than its factorization.

224884147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71493 (or 71470 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 224884147200 in words is "two hundred twenty-four billion, eight hundred eighty-four million, one hundred forty-seven thousand, two hundred".