22125840 has 240 divisors, whose sum is σ = 82226880. Its totient is φ = 4874240.

The previous prime is 22125821. The next prime is 22125841. The reversal of 22125840 is 4852122.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22125840.

It is not an unprimeable number, because it can be changed into a prime (22125841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762946 + ... + 762974.

It is an arithmetic number, because the mean of its divisors is an integer number (342612).

Almost surely, 2^22125840 is an apocalyptic number.

22125840 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 22125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41113440).

22125840 is an abundant number, since it is smaller than the sum of its proper divisors (60101040).

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

22125840 is a wasteful number, since it uses less digits than its factorization.

22125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22125840 is about 4703.8112207018. The cubic root of 22125840 is about 280.7371731422.

Adding to 22125840 its reverse (4852122), we get a palindrome (26977962).

The spelling of 22125840 in words is "twenty-two million, one hundred twenty-five thousand, eight hundred forty".