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2246274405 = 32556418849
BaseRepresentation
bin1000010111100011…
…0110110101100101
312210112202120012100
42011320312311211
514100021240110
61010521242313
7106444005654
oct20570666545
95715676170
102246274405
11a52a66231
12528333399
1329a4b406b
1417448519b
15d230cbc0
hex85e36d65

2246274405 has 24 divisors (see below), whose sum is σ = 3894672600. Its totient is φ = 1197665280.

The previous prime is 2246274397. The next prime is 2246274439. The reversal of 2246274405 is 5044726422.

2246274405 is a `hidden beast` number, since 2 + 24 + 627 + 4 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184932801 + 2061341604 = 13599^2 + 45402^2 .

It is not a de Polignac number, because 2246274405 - 23 = 2246274397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2246274405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249421 + ... + 258269.

It is an arithmetic number, because the mean of its divisors is an integer number (162278025).

Almost surely, 22246274405 is an apocalyptic number.

It is an amenable number.

2246274405 is a deficient number, since it is larger than the sum of its proper divisors (1648398195).

2246274405 is a wasteful number, since it uses less digits than its factorization.

2246274405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2246274405 is about 47394.8774130707. The cubic root of 2246274405 is about 1309.6470515459.

The spelling of 2246274405 in words is "two billion, two hundred forty-six million, two hundred seventy-four thousand, four hundred five".

Divisors: 1 3 5 9 15 45 5641 8849 16923 26547 28205 44245 50769 79641 84615 132735 253845 398205 49917209 149751627 249586045 449254881 748758135 2246274405