220185312 has 96 divisors (see below), whose sum is σ = 601058304. Its totient is φ = 70502400.

The previous prime is 220185311. The next prime is 220185323. The reversal of 220185312 is 213581022.

220185312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220185311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717063 + ... + 717369.

It is an arithmetic number, because the mean of its divisors is an integer number (6261024).

Almost surely, 2^220185312 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 220185312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300529152).

220185312 is an abundant number, since it is smaller than the sum of its proper divisors (380872992).

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

220185312 is a wasteful number, since it uses less digits than its factorization.

220185312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 220185312 is about 14838.6425255143. The cubic root of 220185312 is about 603.8505251216.

The spelling of 220185312 in words is "two hundred twenty million, one hundred eighty-five thousand, three hundred twelve".