224210000 has 100 divisors (see below), whose sum is σ = 620576352. Its totient is φ = 76848000.

The previous prime is 224209987. The next prime is 224210009. The reversal of 224210000 is 12422.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224210009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 68399 + ... + 71601.

Almost surely, 2^224210000 is an apocalyptic number.

224210000 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 224210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310288176).

224210000 is an abundant number, since it is smaller than the sum of its proper divisors (396366352).

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

224210000 is an equidigital number, since it uses as much as digits as its factorization.

224210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 224210000 is about 14973.6435111832. The cubic root of 224210000 is about 607.5075219084.

Adding to 224210000 its reverse (12422), we get a palindrome (224222422).

The spelling of 224210000 in words is "two hundred twenty-four million, two hundred ten thousand".