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10634225 = 52728681
BaseRepresentation
bin101000100100…
…001111110001
3202000021102012
4220210033301
510210243400
61015532305
7156250400
oct50441761
922007365
1010634225
116003718
12368a095
132284454
1415ab637
15e00d35
hexa243f1

10634225 has 18 divisors (see below), whose sum is σ = 15341094. Its totient is φ = 7291200.

The previous prime is 10634203. The next prime is 10634233. The reversal of 10634225 is 52243601.

10634225 = T416 + T417 + ... + T513.

It can be written as a sum of positive squares in 3 ways, for example, as 1825201 + 8809024 = 1351^2 + 2968^2 .

It is not a de Polignac number, because 10634225 - 220 = 9585649 is a prime.

It is a super-4 number, since 4×106342254 (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10634225.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3116 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (852283).

Almost surely, 210634225 is an apocalyptic number.

It is an amenable number.

10634225 is a deficient number, since it is larger than the sum of its proper divisors (4706869).

10634225 is an equidigital number, since it uses as much as digits as its factorization.

10634225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 10634225 is about 3261.0159459898. The cubic root of 10634225 is about 219.9050899148.

Adding to 10634225 its reverse (52243601), we get a palindrome (62877826).

The spelling of 10634225 in words is "ten million, six hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8681 43405 60767 217025 303835 425369 1519175 2126845 10634225