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22106286 = 23231173229
BaseRepresentation
bin101010001010…
…1000010101110
31112121010010100
41110111002232
521124400121
62105451530
7355620546
oct124250256
945533110
1022106286
1111529864
1274a0ba6
134770057
142d16326
151e1a026
hex15150ae

22106286 has 48 divisors (see below), whose sum is σ = 49944960. Its totient is φ = 7058880.

The previous prime is 22106281. The next prime is 22106327. The reversal of 22106286 is 68260122.

22106286 is a `hidden beast` number, since 22 + 10 + 628 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22106281) 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 23 ways as a sum of consecutive naturals, for example, 96420 + ... + 96648.

It is an arithmetic number, because the mean of its divisors is an integer number (1040520).

Almost surely, 222106286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22106286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972480).

22106286 is an abundant number, since it is smaller than the sum of its proper divisors (27838674).

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

22106286 is a wasteful number, since it uses less digits than its factorization.

22106286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22106286 is about 4701.7322339750. The cubic root of 22106286 is about 280.6544470532.

The spelling of 22106286 in words is "twenty-two million, one hundred six thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 229 279 346 458 519 558 687 1038 1374 1557 2061 3114 4122 5363 7099 10726 14198 16089 21297 32178 39617 42594 48267 63891 79234 96534 118851 127782 237702 356553 713106 1228127 2456254 3684381 7368762 11053143 22106286