224252000 has 96 divisors (see below), whose sum is σ = 629778240. Its totient is φ = 76876800.

The previous prime is 224251997. The next prime is 224252011. The reversal of 224252000 is 252422.

It is a self number, because there is not a number n which added to its sum of digits gives 224252000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23996 + ... + 32004.

It is an arithmetic number, because the mean of its divisors is an integer number (6560190).

Almost surely, 2^224252000 is an apocalyptic number.

224252000 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 224252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314889120).

224252000 is an abundant number, since it is smaller than the sum of its proper divisors (405526240).

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

224252000 is an equidigital number, since it uses as much as digits as its factorization.

224252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 224252000 is about 14975.0459097794. The cubic root of 224252000 is about 607.5454531973.

The spelling of 224252000 in words is "two hundred twenty-four million, two hundred fifty-two thousand".