220015872 has 144 divisors (see below), whose sum is σ = 658168000. Its totient is φ = 72493056.

The previous prime is 220015871. The next prime is 220015903. The reversal of 220015872 is 278510022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220015871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960654 + ... + 960882.

Almost surely, 2^220015872 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 220015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329084000).

220015872 is an abundant number, since it is smaller than the sum of its proper divisors (438152128).

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

220015872 is a wasteful number, since it uses less digits than its factorization.

220015872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 220015872 is about 14832.9320095523. The cubic root of 220015872 is about 603.6955909458.

Adding to 220015872 its reverse (278510022), we get a palindrome (498525894).

The spelling of 220015872 in words is "two hundred twenty million, fifteen thousand, eight hundred seventy-two".