220771740 has 96 divisors (see below), whose sum is σ = 708470784. Its totient is φ = 50319360.

The previous prime is 220771729. The next prime is 220771763. The reversal of 220771740 is 47177022.

220771740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220771740² = 97480322365255200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220771698 and 220771707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241885 + ... + 242795.

It is an arithmetic number, because the mean of its divisors is an integer number (7379904).

Almost surely, 2^220771740 is an apocalyptic number.

220771740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220771740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354235392).

220771740 is an abundant number, since it is smaller than the sum of its proper divisors (487699044).

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

220771740 is a wasteful number, since it uses less digits than its factorization.

220771740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 220771740 is about 14858.3895493421. The cubic root of 220771740 is about 604.3861359986.

The spelling of 220771740 in words is "two hundred twenty million, seven hundred seventy-one thousand, seven hundred forty".