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2289997920 = 253571747853
BaseRepresentation
bin1000100001111110…
…1001100001100000
312220121000221120210
42020133221201200
514142214413140
61015122334120
7110514442530
oct21037514140
95817027523
102289997920
11a7570a371
1253aaba340
132a6582672
1417a1c74c0
15d6097d80
hex887e9860

2289997920 has 384 divisors, whose sum is σ = 8925106176. Its totient is φ = 481591296.

The previous prime is 2289997909. The next prime is 2289997949. The reversal of 2289997920 is 297999822.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2684214 + ... + 2685066.

It is an arithmetic number, because the mean of its divisors is an integer number (23242464).

Almost surely, 22289997920 is an apocalyptic number.

2289997920 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 2289997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462553088).

2289997920 is an abundant number, since it is smaller than the sum of its proper divisors (6635108256).

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

2289997920 is a wasteful number, since it uses less digits than its factorization.

2289997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The square root of 2289997920 is about 47853.9227232209. The cubic root of 2289997920 is about 1318.0898911168.

The spelling of 2289997920 in words is "two billion, two hundred eighty-nine million, nine hundred ninety-seven thousand, nine hundred twenty".