22016400 has 120 divisors (see below), whose sum is σ = 80631744. Its totient is φ = 5030400.

The previous prime is 22016399. The next prime is 22016413. The reversal of 22016400 is 461022.

22016400 = T₁₆₅ + T₁₆₆ + ... + T₅₁₄.

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 22016400.

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 23 ways as a sum of consecutive naturals, for example, 7090 + ... + 9710.

Almost surely, 2^22016400 is an apocalyptic number.

22016400 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 22016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40315872).

22016400 is an abundant number, since it is smaller than the sum of its proper divisors (58615344).

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

22016400 is a wasteful number, since it uses less digits than its factorization.

22016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22016400 is about 4692.1636800095. The cubic root of 22016400 is about 280.2735422034.

Adding to 22016400 its reverse (461022), we get a palindrome (22477422).

The spelling of 22016400 in words is "twenty-two million, sixteen thousand, four hundred".