2224320 has 112 divisors (see below), whose sum is σ = 8095488. Its totient is φ = 506880.

The previous prime is 2224289. The next prime is 2224337. The reversal of 2224320 is 234222.

2224320 = T₂₃₁ + T₂₃₂ + ... + T₂₉₄.

2224320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2224320³ = 33015133308616704000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2224320.

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, 6555 + ... + 6885.

2^2224320 is an apocalyptic number.

2224320 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 2224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047744).

2224320 is an abundant number, since it is smaller than the sum of its proper divisors (5871168).

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

2224320 is a wasteful number, since it uses less digits than its factorization.

2224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2224320 is about 1491.4154350817. The cubic root of 2224320 is about 130.5366377364.

Adding to 2224320 its reverse (234222), we get a palindrome (2458542).

It can be divided in two parts, 22 and 24320, that added together give a palindrome (24342).

The spelling of 2224320 in words is "two million, two hundred twenty-four thousand, three hundred twenty".