224095872 has 384 divisors, whose sum is σ = 820471680. Its totient is φ = 52715520.

The previous prime is 224095867. The next prime is 224095909. The reversal of 224095872 is 278590422.

224095872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 224095872.

It is a congruent number.

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, 4228198 + ... + 4228250.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2^224095872 is an apocalyptic number.

224095872 is a gapful number since it is divisible by the number (22) 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 224095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410235840).

224095872 is an abundant number, since it is smaller than the sum of its proper divisors (596375808).

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

224095872 is a wasteful number, since it uses less digits than its factorization.

224095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 224095872 is about 14969.8320631863. The cubic root of 224095872 is about 607.4044260222.

The spelling of 224095872 in words is "two hundred twenty-four million, ninety-five thousand, eight hundred seventy-two".