224952000 has 448 divisors, whose sum is σ = 923080704. Its totient is φ = 47001600.

The previous prime is 224951999. The next prime is 224952017. The reversal of 224952000 is 259422.

224952000 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2183949 + ... + 2184051.

It is an arithmetic number, because the mean of its divisors is an integer number (2060448).

Almost surely, 2^224952000 is an apocalyptic number.

224952000 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 224952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461540352).

224952000 is an abundant number, since it is smaller than the sum of its proper divisors (698128704).

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

224952000 is a wasteful number, since it uses less digits than its factorization.

224952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 224952000 is about 14998.3999146576. The cubic root of 224952000 is about 608.1769452671.

The spelling of 224952000 in words is "two hundred twenty-four million, nine hundred fifty-two thousand".