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2683422 = 233731229
BaseRepresentation
bin1010001111001000011110
312001022222000
422033020132
51141332142
6133303130
731544250
oct12171036
95038860
102683422
111573105
12a94aa6
1372c531
144dbcd0
1538014c
hex28f21e

2683422 has 64 divisors (see below), whose sum is σ = 7065600. Its totient is φ = 738720.

The previous prime is 2683397. The next prime is 2683423. The reversal of 2683422 is 2243862.

2683422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11604 + ... + 11832.

It is an arithmetic number, because the mean of its divisors is an integer number (110400).

22683422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2683422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532800).

2683422 is an abundant number, since it is smaller than the sum of its proper divisors (4382178).

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

2683422 is a wasteful number, since it uses less digits than its factorization.

2683422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2683422 is about 1638.1153805517. The cubic root of 2683422 is about 138.9620861694.

The spelling of 2683422 in words is "two million, six hundred eighty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 229 279 378 434 458 558 651 687 837 1302 1374 1603 1674 1953 2061 3206 3906 4122 4809 5859 6183 7099 9618 11718 12366 14198 14427 21297 28854 42594 43281 49693 63891 86562 99386 127782 149079 191673 298158 383346 447237 894474 1341711 2683422