2224368 has 80 divisors (see below), whose sum is σ = 6745600. Its totient is φ = 699840.

The previous prime is 2224367. The next prime is 2224379. The reversal of 2224368 is 8634222.

2224368 is a `hidden beast` number, since 222 + 436 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8073 + ... + 8343.

It is an arithmetic number, because the mean of its divisors is an integer number (84320).

2^2224368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372800).

2224368 is an abundant number, since it is smaller than the sum of its proper divisors (4521232).

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

2224368 is a wasteful number, since it uses less digits than its factorization.

2224368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2224368 is about 1491.4315270907. The cubic root of 2224368 is about 130.5375767070.

The spelling of 2224368 in words is "two million, two hundred twenty-four thousand, three hundred sixty-eight".