2223600 has 120 divisors (see below), whose sum is σ = 7611120. Its totient is φ = 552960.

The previous prime is 2223587. The next prime is 2223607. The reversal of 2223600 is 63222.

It is a tau number, because it is divible by the number of its divisors (120).

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 2223600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223607) 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, 20346 + ... + 20454.

It is an arithmetic number, because the mean of its divisors is an integer number (63426).

2^2223600 is an apocalyptic number.

2223600 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 2223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805560).

2223600 is an abundant number, since it is smaller than the sum of its proper divisors (5387520).

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

2223600 is a wasteful number, since it uses less digits than its factorization.

2223600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2223600 is about 1491.1740341087. The cubic root of 2223600 is about 130.5225515555.

2223600 divided by its sum of digits (15) gives a triangular number (148240 = T₅₄₄).

Adding to 2223600 its reverse (63222), we get a palindrome (2286822).

The spelling of 2223600 in words is "two million, two hundred twenty-three thousand, six hundred".