224010000 has 300 divisors, whose sum is σ = 830921520. Its totient is φ = 56160000.

The previous prime is 224009971. The next prime is 224010001. The reversal of 224010000 is 10422.

224010000 = 388² + 389² + ... + 900².

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (224010001) 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 59 ways as a sum of consecutive naturals, for example, 1709935 + ... + 1710065.

Almost surely, 2^224010000 is an apocalyptic number.

224010000 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 224010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415460760).

224010000 is an abundant number, since it is smaller than the sum of its proper divisors (606911520).

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

224010000 is a wasteful number, since it uses less digits than its factorization.

224010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 224010000 is about 14966.9636199197. The cubic root of 224010000 is about 607.3268317078.

Adding to 224010000 its reverse (10422), we get a palindrome (224020422).

The spelling of 224010000 in words is "two hundred twenty-four million, ten thousand".