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2189352672 = 2533131910259
BaseRepresentation
bin1000001001111110…
…1101111011100000
312122120122122021000
42002133231323200
513440433241142
61001125232000
7105153122253
oct20237557340
95576578230
102189352672
11a23918081
12511262600
1328b774270
1416aaa909a
15cc31714c
hex827edee0

2189352672 has 192 divisors, whose sum is σ = 7239456000. Its totient is φ = 638129664.

The previous prime is 2189352617. The next prime is 2189352677. The reversal of 2189352672 is 2762539812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189352677) 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 31 ways as a sum of consecutive naturals, for example, 208279 + ... + 218537.

It is an arithmetic number, because the mean of its divisors is an integer number (37705500).

Almost surely, 22189352672 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 2189352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

2189352672 is an abundant number, since it is smaller than the sum of its proper divisors (5050103328).

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

2189352672 is a wasteful number, since it uses less digits than its factorization.

2189352672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10310 (or 10296 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2189352672 is about 46790.5190396516. The cubic root of 2189352672 is about 1298.4898978008.

The spelling of 2189352672 in words is "two billion, one hundred eighty-nine million, three hundred fifty-two thousand, six hundred seventy-two".