224296000 has 168 divisors, whose sum is σ = 591625944. Its totient is φ = 84198400.

The previous prime is 224295997. The next prime is 224296001. The reversal of 224296000 is 692422.

224296000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 222129216 = 1472^2 + 14904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224296001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4231974 + ... + 4232026.

It is an arithmetic number, because the mean of its divisors is an integer number (3521583).

Almost surely, 2^224296000 is an apocalyptic number.

224296000 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 224296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295812972).

224296000 is an abundant number, since it is smaller than the sum of its proper divisors (367329944).

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

224296000 is an equidigital number, since it uses as much as digits as its factorization.

224296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 224296000 is about 14976.5149484117. The cubic root of 224296000 is about 607.5851856587.

The spelling of 224296000 in words is "two hundred twenty-four million, two hundred ninety-six thousand".