20214144 has 64 divisors (see below), whose sum is σ = 59670000. Its totient is φ = 6736896.

The previous prime is 20214143. The next prime is 20214149. The reversal of 20214144 is 44141202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20214144² = 817223235305472, 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 not an unprimeable number, because it can be changed into a prime (20214143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532 + ... + 6380.

Almost surely, 2^20214144 is an apocalyptic number.

20214144 is a gapful number since it is divisible by the number (24) 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 20214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835000).

20214144 is an abundant number, since it is smaller than the sum of its proper divisors (39455856).

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

20214144 is an equidigital number, since it uses as much as digits as its factorization.

20214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5854 counting only the distinct ones).

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

The square root of 20214144 is about 4496.0142348529. The cubic root of 20214144 is about 272.4071181357.

Adding to 20214144 its reverse (44141202), we get a palindrome (64355346).

The spelling of 20214144 in words is "twenty million, two hundred fourteen thousand, one hundred forty-four".