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2082213 = 33723479
BaseRepresentation
bin111111100010110100101
310220210021000
413330112211
51013112323
6112343513
723461410
oct7742645
93823230
102082213
1111a2441
12844b99
1357b9a3
143c2b77
152b1e43
hex1fc5a5

2082213 has 32 divisors (see below), whose sum is σ = 3686400. Its totient is φ = 1135728.

The previous prime is 2082193. The next prime is 2082247. The reversal of 2082213 is 3122802.

It is a happy number.

It is not a de Polignac number, because 2082213 - 25 = 2082181 is a prime.

It is a super-2 number, since 2×20822132 = 8671221954738, which contains 22 as substring.

It is a Curzon number.

2082213 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4108 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

22082213 is an apocalyptic number.

2082213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2082213 is a deficient number, since it is larger than the sum of its proper divisors (1604187).

2082213 is a wasteful number, since it uses less digits than its factorization.

2082213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2082213 is about 1442.9875259336. The cubic root of 2082213 is about 127.6953407072.

The spelling of 2082213 in words is "two million, eighty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 479 483 621 1437 1449 3353 4311 4347 10059 11017 12933 30177 33051 77119 90531 99153 231357 297459 694071 2082213