224385000 has 160 divisors (see below), whose sum is σ = 801493440. Its totient is φ = 51264000.

The previous prime is 224384999. The next prime is 224385017. The reversal of 224385000 is 583422.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103932 + ... + 106068.

It is an arithmetic number, because the mean of its divisors is an integer number (5009334).

Almost surely, 2^224385000 is an apocalyptic number.

224385000 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 224385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400746720).

224385000 is an abundant number, since it is smaller than the sum of its proper divisors (577108440).

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

224385000 is a wasteful number, since it uses less digits than its factorization.

224385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 224385000 is about 14979.4859724892. The cubic root of 224385000 is about 607.6655377096.

The spelling of 224385000 in words is "two hundred twenty-four million, three hundred eighty-five thousand".