22416000 has 128 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 5964800.

The previous prime is 22415983. The next prime is 22416001. The reversal of 22416000 is 61422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22416001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47767 + ... + 48233.

Almost surely, 2^22416000 is an apocalyptic number.

22416000 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 22416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

22416000 is an abundant number, since it is smaller than the sum of its proper divisors (52052160).

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

22416000 is an equidigital number, since it uses as much as digits as its factorization.

22416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

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

The square root of 22416000 is about 4734.5538332561. The cubic root of 22416000 is about 281.9590504394.

Adding to 22416000 its reverse (61422), we get a palindrome (22477422).

The spelling of 22416000 in words is "twenty-two million, four hundred sixteen thousand".