22214000 has 80 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 8556800.

The previous prime is 22213991. The next prime is 22214009. The reversal of 22214000 is 41222.

It is an interprime number because it is at equal distance from previous prime (22213991) and next prime (22214009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57809 + ... + 58191.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^22214000 is an apocalyptic number.

22214000 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 22214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

22214000 is an abundant number, since it is smaller than the sum of its proper divisors (33496720).

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

22214000 is a wasteful number, since it uses less digits than its factorization.

22214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 22214000 is about 4713.1730288628. The cubic root of 22214000 is about 281.1095430358.

Adding to 22214000 its reverse (41222), we get a palindrome (22255222).

The spelling of 22214000 in words is "twenty-two million, two hundred fourteen thousand".