Search a number
-
+
22106205 = 32511173771
BaseRepresentation
bin101010001010…
…1000001011101
31112121010000100
41110111001131
521124344310
62105451313
7355620402
oct124250135
945533010
1022106205
11115297a0
1274a0b39
13476ccc4
142d162a9
151e19ec0
hex151505d

22106205 has 96 divisors (see below), whose sum is σ = 46096128. Its totient is φ = 9676800.

The previous prime is 22106159. The next prime is 22106209. The reversal of 22106205 is 50260122.

22106205 = 1112 + 1122 + ... + 4072.

It is not a de Polignac number, because 22106205 - 29 = 22105693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22106209) 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 95 ways as a sum of consecutive naturals, for example, 311320 + ... + 311390.

It is an arithmetic number, because the mean of its divisors is an integer number (480168).

Almost surely, 222106205 is an apocalyptic number.

It is an amenable number.

22106205 is an abundant number, since it is smaller than the sum of its proper divisors (23989923).

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

22106205 is a wasteful number, since it uses less digits than its factorization.

22106205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22106205 is about 4701.7236201206. The cubic root of 22106205 is about 280.6541042693.

Adding to 22106205 its reverse (50260122), we get a palindrome (72366327).

The spelling of 22106205 in words is "twenty-two million, one hundred six thousand, two hundred five".

Divisors: 1 3 5 9 11 15 17 33 37 45 51 55 71 85 99 111 153 165 185 187 213 255 333 355 407 495 555 561 629 639 765 781 935 1065 1207 1221 1665 1683 1887 2035 2343 2627 2805 3145 3195 3621 3663 3905 5661 6035 6105 6919 7029 7881 8415 9435 10863 11715 13135 13277 18105 18315 20757 23643 28305 28897 34595 35145 39405 39831 44659 54315 62271 66385 86691 103785 118215 119493 133977 144485 199155 223295 260073 311355 401931 433455 491249 597465 669885 1300365 1473747 2009655 2456245 4421241 7368735 22106205