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2140243392 = 263737193223
BaseRepresentation
bin111111110010001…
…1000010111000000
312112011020121222210
41333210120113000
513340400242032
6552212502120
7104015524440
oct17744302700
95464217883
102140243392
119a91255a1
124b891a940
1328153b411
14164364120
15c7d662cc
hex7f9185c0

2140243392 has 224 divisors, whose sum is σ = 6710996992. Its totient is φ = 589234176.

The previous prime is 2140243387. The next prime is 2140243397. The reversal of 2140243392 is 2933420412.

It is an interprime number because it is at equal distance from previous prime (2140243387) and next prime (2140243397).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140243397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9597393 + ... + 9597615.

It is an arithmetic number, because the mean of its divisors is an integer number (29959808).

Almost surely, 22140243392 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 2140243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355498496).

2140243392 is an abundant number, since it is smaller than the sum of its proper divisors (4570753600).

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

2140243392 is a wasteful number, since it uses less digits than its factorization.

2140243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2140243392 is about 46262.7646385298. The cubic root of 2140243392 is about 1288.7075957101.

The spelling of 2140243392 in words is "two billion, one hundred forty million, two hundred forty-three thousand, three hundred ninety-two".