22254000 has 80 divisors (see below), whose sum is σ = 71766240. Its totient is φ = 5932800.

The previous prime is 22253993. The next prime is 22254017. The reversal of 22254000 is 45222.

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

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

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 15 ways as a sum of consecutive naturals, for example, 4146 + ... + 7854.

It is an arithmetic number, because the mean of its divisors is an integer number (897078).

Almost surely, 2^22254000 is an apocalyptic number.

22254000 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 22254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35883120).

22254000 is an abundant number, since it is smaller than the sum of its proper divisors (49512240).

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

22254000 is a wasteful number, since it uses less digits than its factorization.

22254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 22254000 is about 4717.4145461259. The cubic root of 22254000 is about 281.2781700179.

Adding to 22254000 its reverse (45222), we get a palindrome (22299222).

The spelling of 22254000 in words is "twenty-two million, two hundred fifty-four thousand".