220171734 has 72 divisors (see below), whose sum is σ = 520183872. Its totient is φ = 67223520.

The previous prime is 220171733. The next prime is 220171747. The reversal of 220171734 is 437171022.

It is a happy number.

220171734 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220171698 and 220171707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220171733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200892 + ... + 201984.

It is an arithmetic number, because the mean of its divisors is an integer number (7224776).

Almost surely, 2^220171734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220171734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260091936).

220171734 is an abundant number, since it is smaller than the sum of its proper divisors (300012138).

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

220171734 is a wasteful number, since it uses less digits than its factorization.

220171734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 220171734 is about 14838.1849968249. The cubic root of 220171734 is about 603.8381124696.

The spelling of 220171734 in words is "two hundred twenty million, one hundred seventy-one thousand, seven hundred thirty-four".