220129536 has 144 divisors (see below), whose sum is σ = 649893888. Its totient is φ = 65587200.

The previous prime is 220129519. The next prime is 220129561. The reversal of 220129536 is 635921022.

220129536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599625 + ... + 599991.

It is an arithmetic number, because the mean of its divisors is an integer number (4513152).

Almost surely, 2^220129536 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 220129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324946944).

220129536 is an abundant number, since it is smaller than the sum of its proper divisors (429764352).

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

220129536 is a wasteful number, since it uses less digits than its factorization.

220129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 220129536 is about 14836.7629892777. The cubic root of 220129536 is about 603.7995329053.

The spelling of 220129536 in words is "two hundred twenty million, one hundred twenty-nine thousand, five hundred thirty-six".