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264540225 = 35253611091
BaseRepresentation
bin11111100010010…
…01000001000001
3200102210000222010
433301021001001
51020210241400
642130003133
76361361205
oct1761110101
9612700863
10264540225
11126364a94
12747164a9
1342a639a1
14271c2b05
1518357450
hexfc49041

264540225 has 48 divisors (see below), whose sum is σ = 453345984. Its totient is φ = 136032000.

The previous prime is 264540223. The next prime is 264540229. The reversal of 264540225 is 522045462.

It is a happy number.

It is not a de Polignac number, because 264540225 - 21 = 264540223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264540192 and 264540201.

It is not an unprimeable number, because it can be changed into a prime (264540223) 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 47 ways as a sum of consecutive naturals, for example, 241930 + ... + 243020.

It is an arithmetic number, because the mean of its divisors is an integer number (9444708).

Almost surely, 2264540225 is an apocalyptic number.

264540225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264540225 is a deficient number, since it is larger than the sum of its proper divisors (188805759).

264540225 is a wasteful number, since it uses less digits than its factorization.

264540225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 264540225 is about 16264.6925885490. The cubic root of 264540225 is about 641.9441411595.

Adding to 264540225 its reverse (522045462), we get a palindrome (786585687).

The spelling of 264540225 in words is "two hundred sixty-four million, five hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 53 61 75 159 183 265 305 795 915 1091 1325 1525 3233 3273 3975 4575 5455 9699 16165 16365 27275 48495 57823 66551 80825 81825 173469 199653 242475 289115 332755 867345 998265 1445575 1663775 3527203 4336725 4991325 10581609 17636015 52908045 88180075 264540225