22453200 has 420 divisors, whose sum is σ = 100835808. Its totient is φ = 4665600.

The previous prime is 22453183. The next prime is 22453229. The reversal of 22453200 is 235422.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 2041195 + ... + 2041205.

Almost surely, 2^22453200 is an apocalyptic number.

22453200 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 22453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417904).

22453200 is an abundant number, since it is smaller than the sum of its proper divisors (78382608).

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

22453200 is a wasteful number, since it uses less digits than its factorization.

22453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22453200 is about 4738.4807691917. The cubic root of 22453200 is about 282.1149373033.

Adding to 22453200 its reverse (235422), we get a palindrome (22688622).

It can be divided in two parts, 2245 and 3200, that added together give a palindrome (5445).

The spelling of 22453200 in words is "twenty-two million, four hundred fifty-three thousand, two hundred".