224867664 has 150 divisors (see below), whose sum is σ = 757304394. Its totient is φ = 64229760.

The previous prime is 224867647. The next prime is 224867677. The reversal of 224867664 is 466768422.

224867664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 39690000 = 13608^2 + 6300^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61734 + ... + 65274.

Almost surely, 2^224867664 is an apocalyptic number.

224867664 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 224867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378652197).

224867664 is an abundant number, since it is smaller than the sum of its proper divisors (532436730).

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

224867664 is a wasteful number, since it uses less digits than its factorization.

224867664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3553 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 224867664 is about 14995.5881511863. The cubic root of 224867664 is about 608.1009325741.

The spelling of 224867664 in words is "two hundred twenty-four million, eight hundred sixty-seven thousand, six hundred sixty-four".