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2163397248 = 27343153127
BaseRepresentation
bin1000000011110010…
…1101001010000000
312120202210222010000
42000330231022000
513412312202443
6554401040000
7104416400415
oct20074551200
95522728100
102163397248
11a101aa411
12504626000
1328628721c
1416747010c
15c9ddb8d3
hex80f2d280

2163397248 has 320 divisors, whose sum is σ = 6824632320. Its totient is φ = 679311360.

The previous prime is 2163397219. The next prime is 2163397307. The reversal of 2163397248 is 8427933612.

2163397248 is a `hidden beast` number, since 2 + 1 + 633 + 9 + 7 + 2 + 4 + 8 = 666.

Its product of digits (435456) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17034561 + ... + 17034687.

It is an arithmetic number, because the mean of its divisors is an integer number (21326976).

Almost surely, 22163397248 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 2163397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412316160).

2163397248 is an abundant number, since it is smaller than the sum of its proper divisors (4661235072).

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

2163397248 is a wasteful number, since it uses less digits than its factorization.

2163397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2163397248 is about 46512.3343641232. The cubic root of 2163397248 is about 1293.3381580104.

The spelling of 2163397248 in words is "two billion, one hundred sixty-three million, three hundred ninety-seven thousand, two hundred forty-eight".