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22052225 = 521367853
BaseRepresentation
bin101010000011…
…1110110000001
31112111100222002
41110013312001
521121132400
62104353345
7355304126
oct124076601
945440862
1022052225
11114a2188
127475855
134751570
142d0074d
151e08ed5
hex1507d81

22052225 has 12 divisors (see below), whose sum is σ = 29448636. Its totient is φ = 16284480.

The previous prime is 22052201. The next prime is 22052237. The reversal of 22052225 is 52225022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 744769 + 21307456 = 863^2 + 4616^2 .

It is not a de Polignac number, because 22052225 - 26 = 22052161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22052197 and 22052206.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33602 + ... + 34251.

It is an arithmetic number, because the mean of its divisors is an integer number (2454053).

Almost surely, 222052225 is an apocalyptic number.

22052225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22052225 is a deficient number, since it is larger than the sum of its proper divisors (7396411).

22052225 is a wasteful number, since it uses less digits than its factorization.

22052225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67876 (or 67871 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22052225 is about 4695.9796634994. The cubic root of 22052225 is about 280.4254798265.

Adding to 22052225 its reverse (52225022), we get a palindrome (74277247).

The spelling of 22052225 in words is "twenty-two million, fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 67853 339265 882089 1696325 4410445 22052225