224133264 has 80 divisors (see below), whose sum is σ = 647280000. Its totient is φ = 74254464.

The previous prime is 224133263. The next prime is 224133269. The reversal of 224133264 is 462331422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (224133263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73237 + ... + 76235.

It is an arithmetic number, because the mean of its divisors is an integer number (8091000).

Almost surely, 2^224133264 is an apocalyptic number.

224133264 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 224133264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640000).

224133264 is an abundant number, since it is smaller than the sum of its proper divisors (423146736).

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

224133264 is a wasteful number, since it uses less digits than its factorization.

224133264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3177 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 224133264 is about 14971.0809228993. The cubic root of 224133264 is about 607.4382074018.

Adding to 224133264 its reverse (462331422), we get a palindrome (686464686).

The spelling of 224133264 in words is "two hundred twenty-four million, one hundred thirty-three thousand, two hundred sixty-four".