22306000 has 80 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 8438400.

The previous prime is 22305991. The next prime is 22306007. The reversal of 22306000 is 60322.

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 (22306007) 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 15 ways as a sum of consecutive naturals, for example, 37707 + ... + 38293.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^22306000 is an apocalyptic number.

22306000 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 22306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

22306000 is an abundant number, since it is smaller than the sum of its proper divisors (34565360).

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

22306000 is a wasteful number, since it uses less digits than its factorization.

22306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 22306000 is about 4722.9228238454. The cubic root of 22306000 is about 281.4970832808.

Adding to 22306000 its reverse (60322), we get a palindrome (22366322).

The spelling of 22306000 in words is "twenty-two million, three hundred six thousand".