220029696 has 162 divisors, whose sum is σ = 663795132. Its totient is φ = 72783360.

The previous prime is 220029679. The next prime is 220029697. The reversal of 220029696 is 696920022.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220029696.

It is not an unprimeable number, because it can be changed into a prime (220029697) 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 17 ways as a sum of consecutive naturals, for example, 1679551 + ... + 1679681.

Almost surely, 2^220029696 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 220029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331897566).

220029696 is an abundant number, since it is smaller than the sum of its proper divisors (443765436).

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

220029696 is an frugal number, since it uses more digits than its factorization.

220029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 220029696 is about 14833.3979923684. The cubic root of 220029696 is about 603.7082344474.

The spelling of 220029696 in words is "two hundred twenty million, twenty-nine thousand, six hundred ninety-six".