20225160 has 128 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 5287680.

The previous prime is 20225159. The next prime is 20225167. The reversal of 20225160 is 6152202.

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

It is not an unprimeable number, because it can be changed into a prime (20225167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65727 + ... + 66033.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 2^20225160 is an apocalyptic number.

20225160 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 20225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

20225160 is an abundant number, since it is smaller than the sum of its proper divisors (48520440).

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

20225160 is a wasteful number, since it uses less digits than its factorization.

20225160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20225160 is about 4497.2391530805. The cubic root of 20225160 is about 272.4565932600.

Adding to 20225160 its reverse (6152202), we get a palindrome (26377362).

The spelling of 20225160 in words is "twenty million, two hundred twenty-five thousand, one hundred sixty".