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2072196840 = 2335737611093
BaseRepresentation
bin111101110000011…
…0011011011101000
312100102012111200010
41323200303123220
513220440244330
6541342211520
7102231245130
oct17340633350
95312174603
102072196840
1197377917a
12499b83ba0
13270404a9c
141592cdac0
15c1dc43b0
hex7b8336e8

2072196840 has 256 divisors, whose sum is σ = 7423096320. Its totient is φ = 452874240.

The previous prime is 2072196821. The next prime is 2072196851. The reversal of 2072196840 is 486912702.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1895334 + ... + 1896426.

It is an arithmetic number, because the mean of its divisors is an integer number (28996470).

Almost surely, 22072196840 is an apocalyptic number.

2072196840 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 2072196840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711548160).

2072196840 is an abundant number, since it is smaller than the sum of its proper divisors (5350899480).

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

2072196840 is a wasteful number, since it uses less digits than its factorization.

2072196840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2072196840 is about 45521.3888188838. The cubic root of 2072196840 is about 1274.9025869444.

The spelling of 2072196840 in words is "two billion, seventy-two million, one hundred ninety-six thousand, eight hundred forty".