224635664 has 80 divisors (see below), whose sum is σ = 499682304. Its totient is φ = 96835200.

The previous prime is 224635639. The next prime is 224635667. The reversal of 224635664 is 466536422.

It is a super-2 number, since 2×224635664² = 100922363081441792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224635667) 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 15 ways as a sum of consecutive naturals, for example, 853997 + ... + 854259.

Almost surely, 2^224635664 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 224635664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249841152).

224635664 is an abundant number, since it is smaller than the sum of its proper divisors (275046640).

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

224635664 is a wasteful number, since it uses less digits than its factorization.

224635664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 224635664 is about 14987.8505463592. The cubic root of 224635664 is about 607.8917310675.

The spelling of 224635664 in words is "two hundred twenty-four million, six hundred thirty-five thousand, six hundred sixty-four".