220246190208 has 360 divisors, whose sum is σ = 722175869415. Its totient is φ = 66581982720.

The previous prime is 220246190201. The next prime is 220246190237. The reversal of 220246190208 is 802091642022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220246190208 is a `hidden beast` number, since 2 + 20 + 246 + 190 + 208 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110123095104 + 110123095104 = 331848^2 + 331848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331848.

It is a super-2 number, since 2×220246190208² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (220246190201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 525647023 + ... + 525647441.

Almost surely, 2^220246190208 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 220246190208

220246190208 is an abundant number, since it is smaller than the sum of its proper divisors (501929679207).

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

220246190208 is an frugal number, since it uses more digits than its factorization.

220246190208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 220246190208 in words is "two hundred twenty billion, two hundred forty-six million, one hundred ninety thousand, two hundred eight".