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23145525 = 32521341193
BaseRepresentation
bin101100001001…
…0110000110101
31121112220200200
41120102300311
521411124100
62144031113
7400506444
oct130226065
947486620
1023145525
1112079637
127902499
134a450a0
143106d5b
152072e00
hex1612c35

23145525 has 72 divisors (see below), whose sum is σ = 45971016. Its totient is φ = 11059200.

The previous prime is 23145487. The next prime is 23145527. The reversal of 23145525 is 52554132.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19236996 + 3908529 = 4386^2 + 1977^2 .

It is not a de Polignac number, because 23145525 - 212 = 23141429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145527) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 119829 + ... + 120021.

Almost surely, 223145525 is an apocalyptic number.

23145525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23145525 is a deficient number, since it is larger than the sum of its proper divisors (22825491).

23145525 is a wasteful number, since it uses less digits than its factorization.

23145525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 23145525 is about 4810.9796299714. The cubic root of 23145525 is about 284.9852254575.

Adding to 23145525 its reverse (52554132), we get a palindrome (75699657).

The spelling of 23145525 in words is "twenty-three million, one hundred forty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 193 195 205 225 325 369 533 579 585 615 965 975 1025 1599 1737 1845 2509 2665 2895 2925 3075 4797 4825 7527 7913 7995 8685 9225 12545 13325 14475 22581 23739 23985 37635 39565 39975 43425 62725 71217 102869 112905 118695 119925 188175 197825 308607 356085 514345 564525 593475 925821 1543035 1780425 2571725 4629105 7715175 23145525