Search a number
-
+
2268791253 = 321714828701
BaseRepresentation
bin1000011100111011…
…0000000111010101
312212010010112111200
42013032300013111
514121302310003
61013044023113
7110136256521
oct20716600725
95763115450
102268791253
11a647454a3
12533991a99
132a2068c41
14177466d81
15d42a96a3
hex873b01d5

2268791253 has 12 divisors (see below), whose sum is σ = 3469916268. Its totient is φ = 1423555200.

The previous prime is 2268791243. The next prime is 2268791257. The reversal of 2268791253 is 3521978622.

It can be written as a sum of positive squares in 2 ways, for example, as 1190457009 + 1078334244 = 34503^2 + 32838^2 .

It is not a de Polignac number, because 2268791253 - 222 = 2264596949 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2268791199 and 2268791208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268791257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7414198 + ... + 7414503.

It is an arithmetic number, because the mean of its divisors is an integer number (289159689).

Almost surely, 22268791253 is an apocalyptic number.

It is an amenable number.

2268791253 is a deficient number, since it is larger than the sum of its proper divisors (1201125015).

2268791253 is a wasteful number, since it uses less digits than its factorization.

2268791253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828724 (or 14828721 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2268791253 is about 47631.8302503693. The cubic root of 2268791253 is about 1314.0085155443.

The spelling of 2268791253 in words is "two billion, two hundred sixty-eight million, seven hundred ninety-one thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 153 14828701 44486103 133458309 252087917 756263751 2268791253