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22082814 = 2331383379
BaseRepresentation
bin101010000111…
…1010011111110
31112112220221000
41110033103332
521123122224
62105151130
7355462245
oct124172376
945486830
1022082814
1111513166
12748b4a6
134762470
142d0b95c
151e130c9
hex150f4fe

22082814 has 64 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 6695136.

The previous prime is 22082803. The next prime is 22082849. The reversal of 22082814 is 41828022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58077 + ... + 58455.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 222082814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22082814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

22082814 is an abundant number, since it is smaller than the sum of its proper divisors (31542786).

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

22082814 is a wasteful number, since it uses less digits than its factorization.

22082814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22082814 is about 4699.2354697333. The cubic root of 22082814 is about 280.5550808359. Note that the first 3 decimals are identical.

The spelling of 22082814 in words is "twenty-two million, eighty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 379 498 702 747 758 1079 1137 1494 2158 2241 2274 3237 3411 4482 4927 6474 6822 9711 9854 10233 14781 19422 20466 29133 29562 31457 44343 58266 62914 88686 94371 133029 188742 266058 283113 408941 566226 817882 849339 1226823 1698678 2453646 3680469 7360938 11041407 22082814