224486000 has 80 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 88870400.

The previous prime is 224485997. The next prime is 224486021. The reversal of 224486000 is 684422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213476 + ... + 214524.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^224486000 is an apocalyptic number.

224486000 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 224486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

224486000 is an abundant number, since it is smaller than the sum of its proper divisors (323916400).

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

224486000 is a wasteful number, since it uses less digits than its factorization.

224486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 224486000 is about 14982.8568704370. The cubic root of 224486000 is about 607.7566980115.

The spelling of 224486000 in words is "two hundred twenty-four million, four hundred eighty-six thousand".