224190000 has 300 divisors, whose sum is σ = 815813856. Its totient is φ = 57408000.

The previous prime is 224189957. The next prime is 224190007. The reversal of 224190000 is 91422.

224190000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×224190000² = 100522312200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224190007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4229974 + ... + 4230026.

Almost surely, 2^224190000 is an apocalyptic number.

224190000 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 224190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407906928).

224190000 is an abundant number, since it is smaller than the sum of its proper divisors (591623856).

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

224190000 is a wasteful number, since it uses less digits than its factorization.

224190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 224190000 is about 14972.9756561613. The cubic root of 224190000 is about 607.4894577249.

The spelling of 224190000 in words is "two hundred twenty-four million, one hundred ninety thousand".