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2149197120 = 263257176271
BaseRepresentation
bin1000000000011010…
…0010010101000000
312112210002112012100
42000012202111000
513400143301440
6553132430400
7104154605550
oct20006422500
95483075170
102149197120
11a03190674
124bb918400
13283354995
14165615160
15c8a34230
hex801a2540

2149197120 has 336 divisors, whose sum is σ = 8946782208. Its totient is φ = 462274560.

The previous prime is 2149197107. The next prime is 2149197121. The reversal of 2149197120 is 217919412.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149197121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339585 + ... + 345855.

It is an arithmetic number, because the mean of its divisors is an integer number (26627328).

Almost surely, 22149197120 is an apocalyptic number.

2149197120 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 2149197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473391104).

2149197120 is an abundant number, since it is smaller than the sum of its proper divisors (6797585088).

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

2149197120 is a wasteful number, since it uses less digits than its factorization.

2149197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2149197120 is about 46359.4339913679. The cubic root of 2149197120 is about 1290.5022021578.

The spelling of 2149197120 in words is "two billion, one hundred forty-nine million, one hundred ninety-seven thousand, one hundred twenty".