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263252225 = 52173716741
BaseRepresentation
bin11111011000011…
…10100100000001
3200100100121011102
433230032210001
51014343032400
642042224145
76344415125
oct1754164401
9610317142
10263252225
11125665325
12741b5055
1342702662
1426d69585
15181a09d5
hexfb0e901

263252225 has 24 divisors (see below), whose sum is σ = 354997368. Its totient is φ = 192844800.

The previous prime is 263252183. The next prime is 263252281. The reversal of 263252225 is 522252362.

263252225 = 752 + 762 + ... + 9242.

It can be written as a sum of positive squares in 12 ways, for example, as 6355441 + 256896784 = 2521^2 + 16028^2 .

It is not a de Polignac number, because 263252225 - 26 = 263252161 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 23 ways as a sum of consecutive naturals, for example, 7355 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (14791557).

Almost surely, 2263252225 is an apocalyptic number.

263252225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

263252225 is a deficient number, since it is larger than the sum of its proper divisors (91745143).

263252225 is a wasteful number, since it uses less digits than its factorization.

263252225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16805 (or 16800 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 263252225 is about 16225.0493065507. The cubic root of 263252225 is about 640.9006078841.

The spelling of 263252225 in words is "two hundred sixty-three million, two hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 37 85 185 425 629 925 3145 15725 16741 83705 284597 418525 619417 1422985 3097085 7114925 10530089 15485425 52650445 263252225