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22104225 = 33521113229
BaseRepresentation
bin101010001010…
…0100010100001
31112121000022000
41110110202201
521124313400
62105434213
7355611543
oct124244241
945530260
1022104225
1111528260
12749b969
13476c130
142d15693
151e19600
hex15148a1

22104225 has 96 divisors (see below), whose sum is σ = 47913600. Its totient is φ = 9849600.

The previous prime is 22104221. The next prime is 22104227. The reversal of 22104225 is 52240122.

It is not a de Polignac number, because 22104225 - 22 = 22104221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22104198 and 22104207.

It is not an unprimeable number, because it can be changed into a prime (22104221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96411 + ... + 96639.

It is an arithmetic number, because the mean of its divisors is an integer number (499100).

Almost surely, 222104225 is an apocalyptic number.

22104225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22104225 is an abundant number, since it is smaller than the sum of its proper divisors (25809375).

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

22104225 is a wasteful number, since it uses less digits than its factorization.

22104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22104225 is about 4701.5130543262. The cubic root of 22104225 is about 280.6457248464.

Adding to 22104225 its reverse (52240122), we get a palindrome (74344347).

The spelling of 22104225 in words is "twenty-two million, one hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 99 117 135 143 165 195 225 229 275 297 325 351 429 495 585 675 687 715 825 975 1145 1287 1485 1755 2061 2145 2475 2519 2925 2977 3435 3575 3861 5725 6183 6435 7425 7557 8775 8931 10305 10725 12595 14885 17175 19305 22671 26793 30915 32175 32747 37785 44655 51525 62975 68013 74425 80379 96525 98241 113355 133965 154575 163735 188925 223275 294723 340065 401895 491205 566775 669825 818675 884169 1473615 1700325 2009475 2456025 4420845 7368075 22104225