22082400 has 108 divisors (see below), whose sum is σ = 77893452. Its totient is φ = 5886720.

The previous prime is 22082393. The next prime is 22082407. The reversal of 22082400 is 428022.

It is an interprime number because it is at equal distance from previous prime (22082393) and next prime (22082407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5667 + ... + 8733.

Almost surely, 2^22082400 is an apocalyptic number.

22082400 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 22082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38946726).

22082400 is an abundant number, since it is smaller than the sum of its proper divisors (55811052).

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

22082400 is a wasteful number, since it uses less digits than its factorization.

22082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22082400 is about 4699.1914198083. The cubic root of 22082400 is about 280.5533275791.

The spelling of 22082400 in words is "twenty-two million, eighty-two thousand, four hundred".