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22004112 = 24313179197
BaseRepresentation
bin101001111110…
…0000110010000
31112101220222010
41103330012100
521113112422
62103342520
7355013634
oct123740620
945356863
1022004112
111146a019
127451a40
1347356b0
142ccadc4
151de9b0c
hex14fc190

22004112 has 80 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 6698496.

The previous prime is 22004111. The next prime is 22004119. The reversal of 22004112 is 21140022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22004111) 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 15 ways as a sum of consecutive naturals, for example, 111598 + ... + 111794.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 222004112 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 22004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

22004112 is an abundant number, since it is smaller than the sum of its proper divisors (39866928).

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

22004112 is a wasteful number, since it uses less digits than its factorization.

22004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22004112 is about 4690.8540800157. The cubic root of 22004112 is about 280.2213895321.

Adding to 22004112 its reverse (21140022), we get a palindrome (43144134).

The spelling of 22004112 in words is "twenty-two million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 179 197 208 312 358 394 537 591 624 716 788 1074 1182 1432 1576 2148 2327 2364 2561 2864 3152 4296 4654 4728 5122 6981 7683 8592 9308 9456 10244 13962 15366 18616 20488 27924 30732 35263 37232 40976 55848 61464 70526 105789 111696 122928 141052 211578 282104 423156 458419 564208 846312 916838 1375257 1692624 1833676 2750514 3667352 5501028 7334704 11002056 22004112