22145760 has 288 divisors, whose sum is σ = 93562560. Its totient is φ = 4672512.

The previous prime is 22145759. The next prime is 22145777. The reversal of 22145760 is 6754122.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1703514 + ... + 1703526.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 2^22145760 is an apocalyptic number.

22145760 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 22145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

22145760 is an abundant number, since it is smaller than the sum of its proper divisors (71416800).

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

22145760 is a wasteful number, since it uses less digits than its factorization.

22145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22145760 is about 4705.9281762475. The cubic root of 22145760 is about 280.8213975464.

Adding to 22145760 its reverse (6754122), we get a palindrome (28899882).

The spelling of 22145760 in words is "twenty-two million, one hundred forty-five thousand, seven hundred sixty".