22140800 has 192 divisors, whose sum is σ = 64884240. Its totient is φ = 7372800.

The previous prime is 22140791. The next prime is 22140821. The reversal of 22140800 is 804122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598382 + ... + 598418.

Almost surely, 2^22140800 is an apocalyptic number.

22140800 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 22140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442120).

22140800 is an abundant number, since it is smaller than the sum of its proper divisors (42743440).

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

22140800 is a wasteful number, since it uses less digits than its factorization.

22140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 22140800 is about 4705.4011518679. The cubic root of 22140800 is about 280.8004307318.

Adding to 22140800 its reverse (804122), we get a palindrome (22944922).

It can be divided in two parts, 22 and 140800, that multiplied together give a square (3097600 = 1760²).

The spelling of 22140800 in words is "twenty-two million, one hundred forty thousand, eight hundred".