22482000 has 120 divisors (see below), whose sum is σ = 78585000. Its totient is φ = 5990400.

The previous prime is 22481993. The next prime is 22482011. The reversal of 22482000 is 28422.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 21013056 = 1212^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17376 + ... + 18624.

It is an arithmetic number, because the mean of its divisors is an integer number (654875).

Almost surely, 2^22482000 is an apocalyptic number.

22482000 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 22482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39292500).

22482000 is an abundant number, since it is smaller than the sum of its proper divisors (56103000).

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

22482000 is a wasteful number, since it uses less digits than its factorization.

22482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22482000 is about 4741.5187440313. The cubic root of 22482000 is about 282.2355056976.

The spelling of 22482000 in words is "twenty-two million, four hundred eighty-two thousand".