224264320 has 128 divisors (see below), whose sum is σ = 619539840. Its totient is φ = 76038144.

The previous prime is 224264297. The next prime is 224264351. The reversal of 224264320 is 23462422.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506019 + ... + 506461.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2^224264320 is an apocalyptic number.

224264320 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 224264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309769920).

224264320 is an abundant number, since it is smaller than the sum of its proper divisors (395275520).

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

224264320 is a wasteful number, since it uses less digits than its factorization.

224264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 224264320 is about 14975.4572551225. The cubic root of 224264320 is about 607.5565788103.

The spelling of 224264320 in words is "two hundred twenty-four million, two hundred sixty-four thousand, three hundred twenty".