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1225415225 = 52173421673
BaseRepresentation
bin100100100001010…
…0101101000111001
310011101211112200002
41021002211220321
510002201241400
6321332522345
742236600066
oct11102455071
93141745602
101225415225
11579795661
122a24803b5
13166b52688
14b8a67c6d
15728aaed5
hex490a5a39

1225415225 has 24 divisors (see below), whose sum is σ = 1534204632. Its totient is φ = 970905600.

The previous prime is 1225415221. The next prime is 1225415227. The reversal of 1225415225 is 5225145221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 558329641 + 667085584 = 23629^2 + 25828^2 .

It is not a de Polignac number, because 1225415225 - 22 = 1225415221 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1225415221) by changing a digit.

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, 1820489 + ... + 1821161.

It is an arithmetic number, because the mean of its divisors is an integer number (63925193).

Almost surely, 21225415225 is an apocalyptic number.

It is an amenable number.

1225415225 is a deficient number, since it is larger than the sum of its proper divisors (308789407).

1225415225 is a wasteful number, since it uses less digits than its factorization.

1225415225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1272 counting only the distinct ones).

The product of its digits is 8000, while the sum is 29.

The square root of 1225415225 is about 35005.9312831411. The cubic root of 1225415225 is about 1070.1083609359.

The spelling of 1225415225 in words is "one billion, two hundred twenty-five million, four hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 5 25 173 421 673 865 2105 3365 4325 10525 16825 72833 116429 283333 364165 582145 1416665 1820825 2910725 7083325 49016609 245083045 1225415225