220013200 has 120 divisors (see below), whose sum is σ = 595604736. Its totient is φ = 77376000.

The previous prime is 220013177. The next prime is 220013203. The reversal of 220013200 is 2310022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (220013203) 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 23 ways as a sum of consecutive naturals, for example, 135594 + ... + 137206.

Almost surely, 2^220013200 is an apocalyptic number.

220013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297802368).

220013200 is an abundant number, since it is smaller than the sum of its proper divisors (375591536).

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

220013200 is a wasteful number, since it uses less digits than its factorization.

220013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 220013200 is about 14832.8419394262. The cubic root of 220013200 is about 603.6931470598.

Adding to 220013200 its reverse (2310022), we get a palindrome (222323222).

It can be divided in two parts, 2200 and 13200, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 220013200 in words is "two hundred twenty million, thirteen thousand, two hundred".