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2069828208 = 243372277353
BaseRepresentation
bin111101101011111…
…0001001001110000
312100020202011112000
41323113301021300
513214334000313
6541215334000
7102202151400
oct17327611160
95306664460
102069828208
11972400628
12499221300
1326ca85926
14158c74800
15c1aa7673
hex7b5f1270

2069828208 has 240 divisors, whose sum is σ = 6955760160. Its totient is φ = 587575296.

The previous prime is 2069828207. The next prime is 2069828209. The reversal of 2069828208 is 8028289602.

It is an interprime number because it is at equal distance from previous prime (2069828207) and next prime (2069828209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069828207) 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 47 ways as a sum of consecutive naturals, for example, 5863360 + ... + 5863712.

It is an arithmetic number, because the mean of its divisors is an integer number (28982334).

Almost surely, 22069828208 is an apocalyptic number.

2069828208 is a gapful number since it is divisible by the number (28) 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 2069828208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477880080).

2069828208 is an abundant number, since it is smaller than the sum of its proper divisors (4885931952).

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

2069828208 is a wasteful number, since it uses less digits than its factorization.

2069828208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2069828208 is about 45495.3646869656. The cubic root of 2069828208 is about 1274.4166410912.

The spelling of 2069828208 in words is "two billion, sixty-nine million, eight hundred twenty-eight thousand, two hundred eight".