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612008225 = 52532292017
BaseRepresentation
bin100100011110101…
…000000100100001
31120122121020110022
4210132220010201
52223133230400
6140421243225
721110661353
oct4436500441
91518536408
10612008225
1129450a924
12150b63515
1399a4155a
145b3d10d3
1538ae0b85
hex247a8121

612008225 has 24 divisors (see below), whose sum is σ = 776970360. Its totient is φ = 478033920.

The previous prime is 612008213. The next prime is 612008237. The reversal of 612008225 is 522800216.

It is an interprime number because it is at equal distance from previous prime (612008213) and next prime (612008237).

It can be written as a sum of positive squares in 12 ways, for example, as 583696 + 611424529 = 764^2 + 24727^2 .

It is not a de Polignac number, because 612008225 - 24 = 612008209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 612008194 and 612008203.

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 23 ways as a sum of consecutive naturals, for example, 302417 + ... + 304433.

It is an arithmetic number, because the mean of its divisors is an integer number (32373765).

Almost surely, 2612008225 is an apocalyptic number.

It is an amenable number.

612008225 is a deficient number, since it is larger than the sum of its proper divisors (164962135).

612008225 is a wasteful number, since it uses less digits than its factorization.

612008225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 612008225 is about 24738.7999911071. The cubic root of 612008225 is about 849.0222783338.

The spelling of 612008225 in words is "six hundred twelve million, eight thousand, two hundred twenty-five".

Divisors: 1 5 25 53 229 265 1145 1325 2017 5725 10085 12137 50425 60685 106901 303425 461893 534505 2309465 2672525 11547325 24480329 122401645 612008225