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6682222980 = 2235517312609
BaseRepresentation
bin1100011100100101…
…01010000110000100
3122020200210002200000
412032102222012010
5102141122113410
63023023121300
7324406646436
oct61622520604
918220702600
106682222980
112919a39034
121365a43230
138265227c4
1447567a656
15291997dc0
hex18e4aa184

6682222980 has 288 divisors, whose sum is σ = 22983367680. Its totient is φ = 1622384640.

The previous prime is 6682222931. The next prime is 6682222999. The reversal of 6682222980 is 892222866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2559916 + ... + 2562524.

It is an arithmetic number, because the mean of its divisors is an integer number (79803360).

Almost surely, 26682222980 is an apocalyptic number.

6682222980 is a gapful number since it is divisible by the number (60) 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 6682222980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491683840).

6682222980 is an abundant number, since it is smaller than the sum of its proper divisors (16301144700).

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

6682222980 is a wasteful number, since it uses less digits than its factorization.

6682222980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6682222980 is about 81744.8651598374. The cubic root of 6682222980 is about 1883.5348257198.

The spelling of 6682222980 in words is "six billion, six hundred eighty-two million, two hundred twenty-two thousand, nine hundred eighty".