220845312 has 144 divisors (see below), whose sum is σ = 662256000. Its totient is φ = 72585216.

The previous prime is 220845307. The next prime is 220845323. The reversal of 220845312 is 213548022.

220845312 is a `hidden beast` number, since 2 + 208 + 453 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 614989 + ... + 615347.

It is an arithmetic number, because the mean of its divisors is an integer number (4599000).

Almost surely, 2^220845312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331128000).

220845312 is an abundant number, since it is smaller than the sum of its proper divisors (441410688).

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

220845312 is an equidigital number, since it uses as much as digits as its factorization.

220845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220845312 is about 14860.8651161364. The cubic root of 220845312 is about 604.4532656024.

The spelling of 220845312 in words is "two hundred twenty million, eight hundred forty-five thousand, three hundred twelve".