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2264960745 = 335174124071
BaseRepresentation
bin1000011100000000…
…1000111011101001
312211211220221001000
42013000020323221
514114312220440
61012425545213
7110061564045
oct20700107351
95754827030
102264960745
11a62569593
12532645209
132a1327578
14176b4b025
15d3c9e730
hex87008ee9

2264960745 has 64 divisors (see below), whose sum is σ = 4367623680. Its totient is φ = 1109145600.

The previous prime is 2264960743. The next prime is 2264960749. The reversal of 2264960745 is 5470694622.

It is not a de Polignac number, because 2264960745 - 21 = 2264960743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 2264960745.

It is not an unprimeable number, because it can be changed into a prime (2264960743) 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 63 ways as a sum of consecutive naturals, for example, 82060 + ... + 106130.

It is an arithmetic number, because the mean of its divisors is an integer number (68244120).

Almost surely, 22264960745 is an apocalyptic number.

It is an amenable number.

2264960745 is a deficient number, since it is larger than the sum of its proper divisors (2102662935).

2264960745 is a wasteful number, since it uses less digits than its factorization.

2264960745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24143 (or 24137 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2264960745 is about 47591.6037237662. The cubic root of 2264960745 is about 1313.2685979856.

The spelling of 2264960745 in words is "two billion, two hundred sixty-four million, nine hundred sixty thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 17 27 41 45 51 85 123 135 153 205 255 369 459 615 697 765 1107 1845 2091 2295 3485 5535 6273 10455 18819 24071 31365 72213 94095 120355 216639 361065 409207 649917 986911 1083195 1227621 2046035 2960733 3249585 3682863 4934555 6138105 8882199 11048589 14803665 16777487 18414315 26646597 44410995 50332461 55242945 83887435 133232985 150997383 251662305 452992149 754986915 2264960745