224292960 has 288 divisors, whose sum is σ = 817296480. Its totient is φ = 55910400.

The previous prime is 224292953. The next prime is 224292961. The reversal of 224292960 is 69292422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (224292961) 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, 1712095 + ... + 1712225.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835).

Almost surely, 2^224292960 is an apocalyptic number.

224292960 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 224292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408648240).

224292960 is an abundant number, since it is smaller than the sum of its proper divisors (593003520).

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

224292960 is a wasteful number, since it uses less digits than its factorization.

224292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 224292960 is about 14976.4134558311. The cubic root of 224292960 is about 607.5824406739.

The spelling of 224292960 in words is "two hundred twenty-four million, two hundred ninety-two thousand, nine hundred sixty".