220142016 has 224 divisors, whose sum is σ = 702259200. Its totient is φ = 67415040.

The previous prime is 220141973. The next prime is 220142017. The reversal of 220142016 is 610241022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220142016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220142017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152481 + ... + 1152671.

Almost surely, 2^220142016 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 220142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351129600).

220142016 is an abundant number, since it is smaller than the sum of its proper divisors (482117184).

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

220142016 is a wasteful number, since it uses less digits than its factorization.

220142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220142016 is about 14837.1835602314. The cubic root of 220142016 is about 603.8109432714.

Adding to 220142016 its reverse (610241022), we get a palindrome (830383038).

The spelling of 220142016 in words is "two hundred twenty million, one hundred forty-two thousand, sixteen".