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2009217 = 37241397
BaseRepresentation
bin111101010100010000001
310210002010110
413222202001
51003243332
6111021533
723035530
oct7524201
93702113
102009217
111152611
1280a8a9
135546b2
143a4317
1529a4cc
hex1ea881

2009217 has 16 divisors (see below), whose sum is σ = 3082112. Its totient is φ = 1140480.

The previous prime is 2009209. The next prime is 2009219. The reversal of 2009217 is 7129002.

It is a happy number.

It is not a de Polignac number, because 2009217 - 23 = 2009209 is a prime.

It is a super-3 number, since 3×20092173 = 24333343504639863939, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

2009217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2009193 and 2009202.

It is not an unprimeable number, because it can be changed into a prime (2009219) 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, 4863 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (192632).

22009217 is an apocalyptic number.

It is an amenable number.

2009217 is a deficient number, since it is larger than the sum of its proper divisors (1072895).

2009217 is a wasteful number, since it uses less digits than its factorization.

2009217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2009217 is about 1417.4685181689. The cubic root of 2009217 is about 126.1853533031.

The spelling of 2009217 in words is "two million, nine thousand, two hundred seventeen".

Divisors: 1 3 7 21 241 397 723 1191 1687 2779 5061 8337 95677 287031 669739 2009217