224251104 has 192 divisors, whose sum is σ = 766402560. Its totient is φ = 55672320.

The previous prime is 224251103. The next prime is 224251151. The reversal of 224251104 is 401152422.

224251104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224251103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169357 + ... + 170675.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^224251104 is an apocalyptic number.

224251104 is a gapful number since it is divisible by the number (24) 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 224251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

224251104 is an abundant number, since it is smaller than the sum of its proper divisors (542151456).

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

224251104 is a wasteful number, since it uses less digits than its factorization.

224251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 224251104 is about 14975.0159933137. The cubic root of 224251104 is about 607.5446440459.

The spelling of 224251104 in words is "two hundred twenty-four million, two hundred fifty-one thousand, one hundred four".