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2117218002 = 231373377643
BaseRepresentation
bin111111000110010…
…0010111011010010
312110112220211002120
41332030202323102
513314001434002
6550031155110
7103316025144
oct17614427322
95415824076
102117218002
11997129249
124b1075a96
13279838c23
1416128cc94
15c5d18cbc
hex7e322ed2

2117218002 has 32 divisors (see below), whose sum is σ = 4278560832. Its totient is φ = 698417664.

The previous prime is 2117217989. The next prime is 2117218007. The reversal of 2117218002 is 2008127112.

It is a super-2 number, since 2×21172180022 = 8965224135985744008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2117218007) 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 15 ways as a sum of consecutive naturals, for example, 273193 + ... + 280835.

It is an arithmetic number, because the mean of its divisors is an integer number (133705026).

Almost surely, 22117218002 is an apocalyptic number.

2117218002 is an abundant number, since it is smaller than the sum of its proper divisors (2161342830).

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

2117218002 is a wasteful number, since it uses less digits than its factorization.

2117218002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 2117218002 is about 46013.2372475574. The cubic root of 2117218002 is about 1284.0694867821.

The spelling of 2117218002 in words is "two billion, one hundred seventeen million, two hundred eighteen thousand, two".

Divisors: 1 2 3 6 137 274 337 411 674 822 1011 2022 7643 15286 22929 45858 46169 92338 138507 277014 1047091 2094182 2575691 3141273 5151382 6282546 7727073 15454146 352869667 705739334 1058609001 2117218002