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2293824745 = 529412411601
BaseRepresentation
bin1000100010111000…
…1111110011101001
312220212020101000001
42020232033303221
514144204342440
61015340343001
7110562121462
oct21056176351
95825211001
102293824745
11a77893533
12540244a61
132a72c2464
1417a901d69
15d65a1b9a
hex88b8fce9

2293824745 has 32 divisors (see below), whose sum is σ = 2930891040. Its totient is φ = 1720320000.

The previous prime is 2293824713. The next prime is 2293824751. The reversal of 2293824745 is 5474283922.

It can be written as a sum of positive squares in 16 ways, for example, as 123010281 + 2170814464 = 11091^2 + 46592^2 .

It is not a de Polignac number, because 2293824745 - 25 = 2293824713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2293824695 and 2293824704.

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 31 ways as a sum of consecutive naturals, for example, 1431945 + ... + 1433545.

It is an arithmetic number, because the mean of its divisors is an integer number (91590345).

Almost surely, 22293824745 is an apocalyptic number.

It is an amenable number.

2293824745 is a deficient number, since it is larger than the sum of its proper divisors (637066295).

2293824745 is a wasteful number, since it uses less digits than its factorization.

2293824745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917.

The product of its digits is 967680, while the sum is 46.

The square root of 2293824745 is about 47893.8904767612. The cubic root of 2293824745 is about 1318.8237043328.

The spelling of 2293824745 in words is "two billion, two hundred ninety-three million, eight hundred twenty-four thousand, seven hundred forty-five".

Divisors: 1 5 29 41 145 205 241 1189 1205 1601 5945 6989 8005 9881 34945 46429 49405 65641 232145 286549 328205 385841 1432745 1903589 1929205 9517945 11189389 15819481 55946945 79097405 458764949 2293824745