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22231225 = 52232412
BaseRepresentation
bin101010011001…
…1100010111001
31112211110111201
41110303202321
521142344400
62112254201
7356651032
oct124634271
945743451
1022231225
1111604715
127541361
1347b4b93
142d49a89
151e4206a
hex15338b9

22231225 has 27 divisors (see below), whose sum is σ = 29537389. Its totient is φ = 16596800.

The previous prime is 22231219. The next prime is 22231241. The reversal of 22231225 is 52213222.

The square root of 22231225 is 4715.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9357481 + 12873744 = 3059^2 + 3588^2 .

It is not a de Polignac number, because 22231225 - 221 = 20134073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 542205 + ... + 542245.

Almost surely, 222231225 is an apocalyptic number.

22231225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22231225 is the 4715-th square number.

22231225 is the 2358-th centered octagonal number.

It is an amenable number.

22231225 is a deficient number, since it is larger than the sum of its proper divisors (7306164).

22231225 is an equidigital number, since it uses as much as digits as its factorization.

22231225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The cubic root of 22231225 is about 281.1821828257.

Adding to 22231225 its reverse (52213222), we get a palindrome (74444447).

The spelling of 22231225 in words is "twenty-two million, two hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 23 25 41 115 205 529 575 943 1025 1681 2645 4715 8405 13225 21689 23575 38663 42025 108445 193315 542225 889249 966575 4446245 22231225