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2082228 = 2231759173
BaseRepresentation
bin111111100010110110100
310220210021120
413330112310
51013112403
6112343540
723461431
oct7742664
93823246
102082228
1111a2455
12844bb0
1357b9b5
143c2b88
152b1e53
hex1fc5b4

2082228 has 48 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 638464.

The previous prime is 2082193. The next prime is 2082247. The reversal of 2082228 is 8222802.

It is a junction number, because it is equal to n+sod(n) for n = 2082198 and 2082207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11950 + ... + 12122.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

22082228 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 2082228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880).

2082228 is an abundant number, since it is smaller than the sum of its proper divisors (3179532).

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

2082228 is a wasteful number, since it uses less digits than its factorization.

2082228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2082228 is about 1442.9927234744. The cubic root of 2082228 is about 127.6956473402.

The spelling of 2082228 in words is "two million, eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 173 177 204 236 346 354 519 692 708 1003 1038 2006 2076 2941 3009 4012 5882 6018 8823 10207 11764 12036 17646 20414 30621 35292 40828 61242 122484 173519 347038 520557 694076 1041114 2082228