22506000 has 240 divisors, whose sum is σ = 82328064. Its totient is φ = 5280000.

The previous prime is 22505947. The next prime is 22506017. The reversal of 22506000 is 60522.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 725985 + ... + 726015.

Almost surely, 2^22506000 is an apocalyptic number.

22506000 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 22506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41164032).

22506000 is an abundant number, since it is smaller than the sum of its proper divisors (59822064).

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

22506000 is a wasteful number, since it uses less digits than its factorization.

22506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22506000 is about 4744.0489036265. The cubic root of 22506000 is about 282.3359007281.

Adding to 22506000 its reverse (60522), we get a palindrome (22566522).

The spelling of 22506000 in words is "twenty-two million, five hundred six thousand".