224013000 has 128 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 58995200.

The previous prime is 224012993. The next prime is 224013001. The reversal of 224013000 is 310422.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (224013001) 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 31 ways as a sum of consecutive naturals, for example, 266581 + ... + 267419.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2^224013000 is an apocalyptic number.

224013000 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 224013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

224013000 is an abundant number, since it is smaller than the sum of its proper divisors (483603000).

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

224013000 is a wasteful number, since it uses less digits than its factorization.

224013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 224013000 is about 14967.0638403128. The cubic root of 224013000 is about 607.3295428552.

Adding to 224013000 its reverse (310422), we get a palindrome (224323422).

The spelling of 224013000 in words is "two hundred twenty-four million, thirteen thousand".