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2142041225 = 52176737489
BaseRepresentation
bin111111110101100…
…1111010010001001
312112021121222011012
41333223033102021
513341330304400
6552315213305
7104040023102
oct17753172211
95467558135
102142041225
119aa143305
124b9447235
13281a1a81c
141646b13a9
15c80bdd35
hex7facf489

2142041225 has 24 divisors (see below), whose sum is σ = 2816929080. Its totient is φ = 1610219520.

The previous prime is 2142041201. The next prime is 2142041243. The reversal of 2142041225 is 5221402412.

It can be written as a sum of positive squares in 12 ways, for example, as 445589881 + 1696451344 = 21109^2 + 41188^2 .

It is a de Polignac number, because none of the positive numbers 2k-2142041225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2142041225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282281 + ... + 289769.

It is an arithmetic number, because the mean of its divisors is an integer number (117372045).

Almost surely, 22142041225 is an apocalyptic number.

2142041225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2142041225 is a deficient number, since it is larger than the sum of its proper divisors (674887855).

2142041225 is a wasteful number, since it uses less digits than its factorization.

2142041225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2142041225 is about 46282.1912294567. The cubic root of 2142041225 is about 1289.0683385766.

Adding to 2142041225 its reverse (5221402412), we get a palindrome (7363443637).

The spelling of 2142041225 in words is "two billion, one hundred forty-two million, forty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 673 3365 7489 11441 16825 37445 57205 127313 187225 286025 636565 3182825 5040097 25200485 85681649 126002425 428408245 2142041225