220309456 has 30 divisors (see below), whose sum is σ = 446232290. Its totient is φ = 105361344.

The previous prime is 220309451. The next prime is 220309471. The reversal of 220309456 is 654903022.

It can be written as a sum of positive squares in only one way, i.e., 132250000 + 88059456 = 11500^2 + 9384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220309451) 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 5 ways as a sum of consecutive naturals, for example, 4551 + ... + 21478.

Almost surely, 2^220309456 is an apocalyptic number.

It is an amenable number.

220309456 is an abundant number, since it is smaller than the sum of its proper divisors (225922834).

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

220309456 is a wasteful number, since it uses less digits than its factorization.

220309456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26083 (or 26054 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 220309456 is about 14842.8250680253. The cubic root of 220309456 is about 603.9639906606.

It can be divided in two parts, 22030945 and 6, that multiplied together give a triangular number (132185670 = T₁₆₂₅₉).

The spelling of 220309456 in words is "two hundred twenty million, three hundred nine thousand, four hundred fifty-six".