220775400 has 72 divisors (see below), whose sum is σ = 741443430. Its totient is φ = 58872960.

The previous prime is 220775393. The next prime is 220775407. The reversal of 220775400 is 4577022.

220775400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220775393) and next prime (220775407).

It can be written as a sum of positive squares in 3 ways, for example, as 108118404 + 112656996 = 10398^2 + 10614^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (220775407) by changing a digit.

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, 59527 + ... + 63126.

Almost surely, 2^220775400 is an apocalyptic number.

220775400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220775400 is an abundant number, since it is smaller than the sum of its proper divisors (520668030).

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

220775400 is a wasteful number, since it uses less digits than its factorization.

220775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122675 (or 122663 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 220775400 is about 14858.5127115738. The cubic root of 220775400 is about 604.3894758600.

The spelling of 220775400 in words is "two hundred twenty million, seven hundred seventy-five thousand, four hundred".