220369536 has 96 divisors (see below), whose sum is σ = 637633620. Its totient is φ = 73052160.

The previous prime is 220369531. The next prime is 220369537. The reversal of 220369536 is 635963022.

220369536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 16451136 = 14280^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 220369536.

It is not an unprimeable number, because it can be changed into a prime (220369531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268006 + ... + 268826.

Almost surely, 2^220369536 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 220369536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318816810).

220369536 is an abundant number, since it is smaller than the sum of its proper divisors (417264084).

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

220369536 is a wasteful number, since it uses less digits than its factorization.

220369536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 220369536 is about 14844.8488035412. The cubic root of 220369536 is about 604.0188874698.

The spelling of 220369536 in words is "two hundred twenty million, three hundred sixty-nine thousand, five hundred thirty-six".