224249045000 has 180 divisors, whose sum is σ = 542999633715. Its totient is φ = 86793120000.

The previous prime is 224249044993. The next prime is 224249045003. The reversal of 224249045000 is 540942422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224249045000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 23 ways, for example, as 207540380356 + 16708664644 = 455566^2 + 129262^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334850.

It is not an unprimeable number, because it can be changed into a prime (224249045003) 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 44 ways as a sum of consecutive naturals, for example, 1238944910 + ... + 1238945090.

Almost surely, 2^224249045000 is an apocalyptic number.

224249045000 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 224249045000

224249045000 is an abundant number, since it is smaller than the sum of its proper divisors (318750588715).

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

224249045000 is an frugal number, since it uses more digits than its factorization.

224249045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Multiplying 224249045000 by its sum of digits (32), we get a square (7175969440000 = 2678800²).

Adding to 224249045000 its reverse (540942422), we get a palindrome (224789987422).

The spelling of 224249045000 in words is "two hundred twenty-four billion, two hundred forty-nine million, forty-five thousand".