224525664 has 216 divisors, whose sum is σ = 745060680. Its totient is φ = 63866880.

The previous prime is 224525659. The next prime is 224525671. The reversal of 224525664 is 466525422.

224525664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592227 + ... + 592605.

It is an arithmetic number, because the mean of its divisors is an integer number (3449355).

Almost surely, 2^224525664 is an apocalyptic number.

224525664 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 224525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372530340).

224525664 is an abundant number, since it is smaller than the sum of its proper divisors (520535016).

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

224525664 is a wasteful number, since it uses less digits than its factorization.

224525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 412 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 224525664 is about 14984.1804580698. The cubic root of 224525664 is about 607.7924903579.

The spelling of 224525664 in words is "two hundred twenty-four million, five hundred twenty-five thousand, six hundred sixty-four".