220477202500 has 45 divisors (see below), whose sum is σ = 482190892491. Its totient is φ = 88181490000.

The previous prime is 220477202447. The next prime is 220477202527. The reversal of 220477202500 is 5202774022.

The square root of 220477202500 is 469550.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17285412676 + 203191789824 = 131474^2 + 450768^2 .

It is a super-2 number, since 2×220477202500² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 23472805 + ... + 23482195.

Almost surely, 2^220477202500 is an apocalyptic number.

220477202500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220477202500 is the 469550-th square number.

It is an amenable number.

220477202500 is an abundant number, since it is smaller than the sum of its proper divisors (261713689991).

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

220477202500 is an frugal number, since it uses more digits than its factorization.

220477202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18806 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

Adding to 220477202500 its reverse (5202774022), we get a palindrome (225679976522).

The spelling of 220477202500 in words is "two hundred twenty billion, four hundred seventy-seven million, two hundred two thousand, five hundred".