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22004964 = 22321953607
BaseRepresentation
bin101001111110…
…0010011100100
31112101222010200
41103330103210
521113124324
62103350500
7355016262
oct123742344
945358120
1022004964
111146a723
127452430
134735bb7
142ccb432
151de9ec9
hex14fc4e4

22004964 has 72 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 6806592.

The previous prime is 22004933. The next prime is 22004989. The reversal of 22004964 is 46940022.

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 23 ways as a sum of consecutive naturals, for example, 35949 + ... + 36555.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 222004964 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 22004964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

22004964 is an abundant number, since it is smaller than the sum of its proper divisors (37749276).

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

22004964 is a wasteful number, since it uses less digits than its factorization.

22004964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22004964 is about 4690.9448941551. The cubic root of 22004964 is about 280.2250062128.

Adding to 22004964 its reverse (46940022), we get a palindrome (68944986).

The spelling of 22004964 in words is "twenty-two million, four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 607 636 684 954 1007 1214 1821 1908 2014 2428 3021 3642 4028 5463 6042 7284 9063 10926 11533 12084 18126 21852 23066 32171 34599 36252 46132 64342 69198 96513 103797 128684 138396 193026 207594 289539 386052 415188 579078 611249 1158156 1222498 1833747 2444996 3667494 5501241 7334988 11002482 22004964