224172564 has 144 divisors (see below), whose sum is σ = 692590080. Its totient is φ = 54673920.

The previous prime is 224172551. The next prime is 224172569. The reversal of 224172564 is 465271422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224172569) 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 47 ways as a sum of consecutive naturals, for example, 1983772 + ... + 1983884.

Almost surely, 2^224172564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224172564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346295040).

224172564 is an abundant number, since it is smaller than the sum of its proper divisors (468417516).

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

224172564 is a wasteful number, since it uses less digits than its factorization.

224172564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 155 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 224172564 is about 14972.3933958469. The cubic root of 224172564 is about 607.4737084932.

The spelling of 224172564 in words is "two hundred twenty-four million, one hundred seventy-two thousand, five hundred sixty-four".