Search a number
-
+
22186112 = 271367199
BaseRepresentation
bin101010010100…
…0100010000000
31112202011121212
41110220202000
521134423422
62111305252
7356402354
oct124504200
945664555
1022186112
1111583833
12751b228
13479a4a0
142d37464
151e339e2
hex1528880

22186112 has 64 divisors (see below), whose sum is σ = 48552000. Its totient is φ = 10036224.

The previous prime is 22186079. The next prime is 22186121. The reversal of 22186112 is 21168122.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111389 + ... + 111587.

It is an arithmetic number, because the mean of its divisors is an integer number (758625).

Almost surely, 222186112 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 22186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276000).

22186112 is an abundant number, since it is smaller than the sum of its proper divisors (26365888).

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

22186112 is a wasteful number, since it uses less digits than its factorization.

22186112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 22186112 is about 4710.2135832677. The cubic root of 22186112 is about 280.9918565034.

The spelling of 22186112 in words is "twenty-two million, one hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 199 208 268 398 416 536 796 832 871 1072 1592 1664 1742 2144 2587 3184 3484 4288 5174 6368 6968 8576 10348 12736 13333 13936 20696 25472 26666 27872 41392 53332 55744 82784 106664 111488 165568 173329 213328 331136 346658 426656 693316 853312 1386632 1706624 2773264 5546528 11093056 22186112