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235641125 = 5313732
BaseRepresentation
bin11100000101110…
…01100100100101
3121102101210212002
432002321210211
5440311004000
635214335045
75560626236
oct1602714445
9542353762
10235641125
11111016735
1266aba485
1339a85b25
142341d08d
1515a498d5
hexe0b9925

235641125 has 12 divisors (see below), whose sum is σ = 294294468. Its totient is φ = 188375600.

The previous prime is 235641089. The next prime is 235641139. The reversal of 235641125 is 521146532.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1214404 + 234426721 = 1102^2 + 15311^2 .

It is not a de Polignac number, because 235641125 - 210 = 235640101 is a prime.

It is a Duffinian number.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 170939 + ... + 172311.

It is an arithmetic number, because the mean of its divisors is an integer number (24524539).

Almost surely, 2235641125 is an apocalyptic number.

235641125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

235641125 is a deficient number, since it is larger than the sum of its proper divisors (58653343).

235641125 is an frugal number, since it uses more digits than its factorization.

235641125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 1378 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 235641125 is about 15350.6066655361. The cubic root of 235641125 is about 617.6612592218.

Adding to 235641125 its reverse (521146532), we get a palindrome (756787657).

The spelling of 235641125 in words is "two hundred thirty-five million, six hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1373 6865 34325 171625 1885129 9425645 47128225 235641125