220204947600 has 945 divisors, whose sum is σ = 883041228489. Its totient is φ = 52707283200.

The previous prime is 220204947569. The next prime is 220204947607. The reversal of 220204947600 is 6749402022.

The square root of 220204947600 is 469260.

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

220204947600 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 0 + 4 + 9 + 47 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79273781136 + 140931166464 = 281556^2 + 375408^2 .

It is a super-3 number, since 3×220204947600³ (a number of 35 digits) contains 333 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 (220204947607) 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 188 ways as a sum of consecutive naturals, for example, 2787404361 + ... + 2787404439.

Almost surely, 2^220204947600 is an apocalyptic number.

220204947600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220204947600 is the 469260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220204947600

220204947600 is an abundant number, since it is smaller than the sum of its proper divisors (662836280889).

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

220204947600 is an equidigital number, since it uses as much as digits as its factorization.

220204947600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 220204947600 by its sum of digits (36), we get a square (7927378113600 = 2815560²).

220204947600 divided by its sum of digits (36) gives a square (6116804100 = 78210²).

The spelling of 220204947600 in words is "two hundred twenty billion, two hundred four million, nine hundred forty-seven thousand, six hundred".