20017152 has 104 divisors (see below), whose sum is σ = 59630480. Its totient is φ = 6635520.

The previous prime is 20017147. The next prime is 20017169. The reversal of 20017152 is 25171002.

It is a super-2 number, since 2×20017152² = 801372748382208, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110502 + ... + 110682.

It is an arithmetic number, because the mean of its divisors is an integer number (573370).

Almost surely, 2^20017152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29815240).

20017152 is an abundant number, since it is smaller than the sum of its proper divisors (39613328).

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

20017152 is an equidigital number, since it uses as much as digits as its factorization.

20017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 20017152 is about 4474.0531959287. The cubic root of 20017152 is about 271.5193356395.

Adding to 20017152 its reverse (25171002), we get a palindrome (45188154).

The spelling of 20017152 in words is "twenty million, seventeen thousand, one hundred fifty-two".