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22023225 = 335275979
BaseRepresentation
bin101010000000…
…0110000111001
31112102220012000
41110000300321
521114220400
62104011213
7355123440
oct124006071
945386160
1022023225
1111482414
127460b09
1347412c3
142cd3d57
151e00600
hex1500c39

22023225 has 96 divisors (see below), whose sum is σ = 47616000. Its totient is φ = 9771840.

The previous prime is 22023217. The next prime is 22023227. The reversal of 22023225 is 52232022.

It is not a de Polignac number, because 22023225 - 23 = 22023217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22023198 and 22023207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023227) 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, 278736 + ... + 278814.

It is an arithmetic number, because the mean of its divisors is an integer number (496000).

Almost surely, 222023225 is an apocalyptic number.

22023225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22023225 is an abundant number, since it is smaller than the sum of its proper divisors (25592775).

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

22023225 is a wasteful number, since it uses less digits than its factorization.

22023225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22023225 is about 4692.8909000743. The cubic root of 22023225 is about 280.3025004542.

Adding to 22023225 its reverse (52232022), we get a palindrome (74255247).

The spelling of 22023225 in words is "twenty-two million, twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 59 63 75 79 105 135 175 177 189 225 237 295 315 395 413 525 531 553 675 711 885 945 1185 1239 1475 1575 1593 1659 1975 2065 2133 2655 2765 3555 3717 4425 4661 4725 4977 5925 6195 7965 8295 10325 10665 11151 13275 13825 13983 14931 17775 18585 23305 24885 30975 32627 39825 41475 41949 53325 55755 69915 74655 92925 97881 116525 124425 125847 163135 209745 278775 293643 349575 373275 489405 629235 815675 880929 1048725 1468215 2447025 3146175 4404645 7341075 22023225