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2288918016 = 29327116451
BaseRepresentation
bin1000100001101110…
…0001111000000000
312220112000002020100
42020123201320000
514141430334031
61015043242400
7110502324240
oct21033417000
95815002210
102288918016
11a75041a90
1253a679400
132a6294c78
14179dc5b20
15d5e32de6
hex886e1e00

2288918016 has 240 divisors, whose sum is σ = 8237294208. Its totient is φ = 594432000.

The previous prime is 2288917991. The next prime is 2288918017. The reversal of 2288918016 is 6108198822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288918017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351591 + ... + 358041.

Almost surely, 22288918016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118647104).

2288918016 is an abundant number, since it is smaller than the sum of its proper divisors (5948376192).

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

2288918016 is a wasteful number, since it uses less digits than its factorization.

2288918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2288918016 is about 47842.6380543548. The cubic root of 2288918016 is about 1317.8826661321.

The spelling of 2288918016 in words is "two billion, two hundred eighty-eight million, nine hundred eighteen thousand, sixteen".