220513200 has 60 divisors (see below), whose sum is σ = 706381128. Its totient is φ = 58803200.

The previous prime is 220513177. The next prime is 220513201. The reversal of 220513200 is 2315022.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220513200.

It is not an unprimeable number, because it can be changed into a prime (220513201) 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, 90681 + ... + 93080.

Almost surely, 2^220513200 is an apocalyptic number.

220513200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220513200 is an abundant number, since it is smaller than the sum of its proper divisors (485867928).

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

220513200 is a wasteful number, since it uses less digits than its factorization.

220513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183782 (or 183771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 220513200 is about 14849.6868653854. The cubic root of 220513200 is about 604.1501169202.

Adding to 220513200 its reverse (2315022), we get a palindrome (222828222).

The spelling of 220513200 in words is "two hundred twenty million, five hundred thirteen thousand, two hundred".