224133024 has 48 divisors (see below), whose sum is σ = 591645600. Its totient is φ = 74292480.

The previous prime is 224132963. The next prime is 224133031. The reversal of 224133024 is 420331422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×224133024² = 100471224894769152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10927 + ... + 23825.

It is an arithmetic number, because the mean of its divisors is an integer number (12325950).

Almost surely, 2^224133024 is an apocalyptic number.

224133024 is a gapful number since it is divisible by the number (24) 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 224133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295822800).

224133024 is an abundant number, since it is smaller than the sum of its proper divisors (367512576).

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

224133024 is a wasteful number, since it uses less digits than its factorization.

224133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 224133024 is about 14971.0729074439. The cubic root of 224133024 is about 607.4379905885.

Adding to 224133024 its reverse (420331422), we get a palindrome (644464446).

The spelling of 224133024 in words is "two hundred twenty-four million, one hundred thirty-three thousand, twenty-four".