224810000 has 50 divisors (see below), whose sum is σ = 544311702. Its totient is φ = 89920000.

The previous prime is 224809973. The next prime is 224810009. The reversal of 224810000 is 18422.

It can be written as a sum of positive squares in 5 ways, for example, as 152967424 + 71842576 = 12368^2 + 8476^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×224810000² = 101079072200000000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (224810009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1241 + ... + 21240.

Almost surely, 2^224810000 is an apocalyptic number.

224810000 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 224810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272155851).

224810000 is an abundant number, since it is smaller than the sum of its proper divisors (319501702).

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

224810000 is an equidigital number, since it uses as much as digits as its factorization.

224810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22509 (or 22488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 224810000 is about 14993.6653290648. The cubic root of 224810000 is about 608.0489486215.

Adding to 224810000 its reverse (18422), we get a palindrome (224828422).

The spelling of 224810000 in words is "two hundred twenty-four million, eight hundred ten thousand".