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22005084 = 22329371709
BaseRepresentation
bin101001111110…
…0010101011100
31112101222022010
41103330111130
521113130314
62103351220
7355016523
oct123742534
945358263
1022005084
111146a822
127452510
134735c7a
142ccb4ba
151dea059
hex14fc55c

22005084 has 48 divisors (see below), whose sum is σ = 54583200. Its totient is φ = 6886656.

The previous prime is 22005083. The next prime is 22005103. The reversal of 22005084 is 48050022.

It is a self number, because there is not a number n which added to its sum of digits gives 22005084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005083) 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, 12022 + ... + 13730.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 222005084 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 22005084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27291600).

22005084 is an abundant number, since it is smaller than the sum of its proper divisors (32578116).

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

22005084 is a wasteful number, since it uses less digits than its factorization.

22005084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22005084 is about 4690.9576847377. The cubic root of 22005084 is about 280.2255155970.

The spelling of 22005084 in words is "twenty-two million, five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 1709 2146 3219 3418 4292 5127 6438 6836 10254 12876 20508 49561 63233 99122 126466 148683 189699 198244 252932 297366 379398 594732 758796 1833757 3667514 5501271 7335028 11002542 22005084