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2189392128 = 283272114143
BaseRepresentation
bin1000001001111111…
…0111100100000000
312122120201122101100
42002133313210000
513440441022003
61001130134400
7105153345300
oct20237674400
95576648340
102189392128
11a23944790
12511281400
1328b789201
1416aab9600
15cc323ba3
hex827f7900

2189392128 has 648 divisors, whose sum is σ = 8396964576. Its totient is φ = 541900800.

The previous prime is 2189392123. The next prime is 2189392181. The reversal of 2189392128 is 8212939812.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2189392123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50916075 + ... + 50916117.

Almost surely, 22189392128 is an apocalyptic number.

2189392128 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 2189392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198482288).

2189392128 is an abundant number, since it is smaller than the sum of its proper divisors (6207572448).

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

2189392128 is a wasteful number, since it uses less digits than its factorization.

2189392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 2189392128 is about 46790.9406616281. The cubic root of 2189392128 is about 1298.4976981140.

The spelling of 2189392128 in words is "two billion, one hundred eighty-nine million, three hundred ninety-two thousand, one hundred twenty-eight".