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217213820136 = 23323613835001
BaseRepresentation
bin1100101001001011110…
…0111101110011101000
3202202200000010100111100
43022102330331303220
512024323214221021
6243441530001400
721456522002355
oct3122274756350
9682600110440
10217213820136
11841355a2035
1236120576260
13176386c8171
14a72833d62c
1559b47d5626
hex3292f3dce8

217213820136 has 48 divisors (see below), whose sum is σ = 588450959460. Its totient is φ = 72384480000.

The previous prime is 217213820093. The next prime is 217213820143. The reversal of 217213820136 is 631028312712.

It can be written as a sum of positive squares in 2 ways, for example, as 178599212100 + 38614608036 = 422610^2 + 196506^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 217213820136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157365 + ... + 677636.

Almost surely, 2217213820136 is an apocalyptic number.

It is an amenable number.

217213820136 is an abundant number, since it is smaller than the sum of its proper divisors (371237139324).

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

217213820136 is a wasteful number, since it uses less digits than its factorization.

217213820136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838626 (or 838619 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 217213820136 in words is "two hundred seventeen billion, two hundred thirteen million, eight hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3613 7226 10839 14452 21678 28904 32517 43356 65034 86712 130068 260136 835001 1670002 2505003 3340004 5010006 6680008 7515009 10020012 15030018 20040024 30060036 60120072 3016858613 6033717226 9050575839 12067434452 18101151678 24134868904 27151727517 36202303356 54303455034 72404606712 108606910068 217213820136