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2163382008 = 2333712719183
BaseRepresentation
bin1000000011110010…
…1001011011111000
312120202210012012120
42000330221123320
513412311211013
6554400441240
7104416305114
oct20074513370
95522705176
102163382008
11a10199a17
12504619220
132862802c8
14167468744
15c9dd7123
hex80f296f8

2163382008 has 64 divisors (see below), whose sum is σ = 5598658560. Its totient is φ = 696076416.

The previous prime is 2163382003. The next prime is 2163382021. The reversal of 2163382008 is 8002833612.

It is a super-2 number, since 2×21633820082 = 9360443425076224128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2163382008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163382003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103185 + ... + 122367.

It is an arithmetic number, because the mean of its divisors is an integer number (87479040).

Almost surely, 22163382008 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 2163382008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799329280).

2163382008 is an abundant number, since it is smaller than the sum of its proper divisors (3435276552).

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

2163382008 is a wasteful number, since it uses less digits than its factorization.

2163382008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19356 (or 19352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2163382008 is about 46512.1705363231. The cubic root of 2163382008 is about 1293.3351210400.

The spelling of 2163382008 in words is "two billion, one hundred sixty-three million, three hundred eighty-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 127 148 222 254 296 381 444 508 762 888 1016 1524 3048 4699 9398 14097 18796 19183 28194 37592 38366 56388 57549 76732 112776 115098 153464 230196 460392 709771 1419542 2129313 2436241 2839084 4258626 4872482 5678168 7308723 8517252 9744964 14617446 17034504 19489928 29234892 58469784 90140917 180281834 270422751 360563668 540845502 721127336 1081691004 2163382008