224563680 has 144 divisors (see below), whose sum is σ = 836048304. Its totient is φ = 54435840.

The previous prime is 224563667. The next prime is 224563681. The reversal of 224563680 is 86365422.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224563681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8752 + ... + 22928.

It is an arithmetic number, because the mean of its divisors is an integer number (5805891).

Almost surely, 2^224563680 is an apocalyptic number.

224563680 is a gapful number since it is divisible by the number (20) 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 224563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418024152).

224563680 is an abundant number, since it is smaller than the sum of its proper divisors (611484624).

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

224563680 is a wasteful number, since it uses less digits than its factorization.

224563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14209 (or 14198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 224563680 is about 14985.4489422239. The cubic root of 224563680 is about 607.8267916118.

The spelling of 224563680 in words is "two hundred twenty-four million, five hundred sixty-three thousand, six hundred eighty".