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23205125 = 53185641
BaseRepresentation
bin101100010000…
…1010100000101
31121122221110002
41120201110011
521420031000
62145211045
7401145266
oct130412405
947587402
1023205125
111210a399
127930a85
134a66258
14312096d
1520858d5
hex1621505

23205125 has 8 divisors (see below), whose sum is σ = 28960152. Its totient is φ = 18564000.

The previous prime is 23205109. The next prime is 23205181. The reversal of 23205125 is 52150232.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 23030401 = 418^2 + 4799^2 .

It is not a de Polignac number, because 23205125 - 24 = 23205109 is a prime.

It is a super-3 number, since 3×232051253 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23205097 and 23205106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92696 + ... + 92945.

It is an arithmetic number, because the mean of its divisors is an integer number (3620019).

Almost surely, 223205125 is an apocalyptic number.

23205125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23205125 is a deficient number, since it is larger than the sum of its proper divisors (5755027).

23205125 is an equidigital number, since it uses as much as digits as its factorization.

23205125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185656 (or 185646 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 23205125 is about 4817.1698122445. The cubic root of 23205125 is about 285.2296292361.

Adding to 23205125 its reverse (52150232), we get a palindrome (75355357).

The spelling of 23205125 in words is "twenty-three million, two hundred five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 185641 928205 4641025 23205125