220955400 has 72 divisors (see below), whose sum is σ = 742047930. Its totient is φ = 58920960.

The previous prime is 220955393. The next prime is 220955407. The reversal of 220955400 is 4559022.

220955400 is a `hidden beast` number, since 2 + 209 + 55 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (220955393) and next prime (220955407).

It can be written as a sum of positive squares in 3 ways, for example, as 142420356 + 78535044 = 11934^2 + 8862^2 .

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 (220955407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59577 + ... + 63176.

Almost surely, 2^220955400 is an apocalyptic number.

220955400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220955400 is an abundant number, since it is smaller than the sum of its proper divisors (521092530).

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

220955400 is a wasteful number, since it uses less digits than its factorization.

220955400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122775 (or 122763 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 220955400 is about 14864.5686112985. The cubic root of 220955400 is about 604.5536858116.

It can be divided in two parts, 22095 and 5400, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 220955400 in words is "two hundred twenty million, nine hundred fifty-five thousand, four hundred".