220785300 has 54 divisors (see below), whose sum is σ = 692042078. Its totient is φ = 58875840.

The previous prime is 220785269. The next prime is 220785319. The reversal of 220785300 is 3587022.

It can be written as a sum of positive squares in 3 ways, for example, as 31337604 + 189447696 = 5598^2 + 13764^2 .

It is a super-2 number, since 2×220785300² = 97492297392180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121759 + ... + 123558.

Almost surely, 2^220785300 is an apocalyptic number.

220785300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220785300 is an abundant number, since it is smaller than the sum of its proper divisors (471256778).

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

220785300 is a wasteful number, since it uses less digits than its factorization.

220785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245337 (or 245327 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 220785300 is about 14858.8458501998. The cubic root of 220785300 is about 604.3985097264.

The spelling of 220785300 in words is "two hundred twenty million, seven hundred eighty-five thousand, three hundred".