220683852900 has 243 divisors, whose sum is σ = 805015226379. Its totient is φ = 50419474560.

The previous prime is 220683852881. The next prime is 220683852901. The reversal of 220683852900 is 9258386022.

It is a happy number.

The square root of 220683852900 is 469770.

It is a perfect power (a square), and thus also a powerful number.

220683852900 is a `hidden beast` number, since 2 + 206 + 83 + 85 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6618473316 + 214065379584 = 81354^2 + 462672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (220683852901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98650582 + ... + 98652818.

Almost surely, 2^220683852900 is an apocalyptic number.

220683852900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220683852900 is the 469770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220683852900

220683852900 is an abundant number, since it is smaller than the sum of its proper divisors (584331373479).

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

220683852900 is a wasteful number, since it uses less digits than its factorization.

220683852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 220683852900 in words is "two hundred twenty billion, six hundred eighty-three million, eight hundred fifty-two thousand, nine hundred".